(************** Content-type: application/mathematica ************** CreatedBy='Mathematica 5.2' Mathematica-Compatible Notebook This notebook can be used with any Mathematica-compatible application, such as Mathematica, MathReader or Publicon. The data for the notebook starts with the line containing stars above. To get the notebook into a Mathematica-compatible application, do one of the following: * Save the data starting with the line of stars above into a file with a name ending in .nb, then open the file inside the application; * Copy the data starting with the line of stars above to the clipboard, then use the Paste menu command inside the application. Data for notebooks contains only printable 7-bit ASCII and can be sent directly in email or through ftp in text mode. Newlines can be CR, LF or CRLF (Unix, Macintosh or MS-DOS style). NOTE: If you modify the data for this notebook not in a Mathematica- compatible application, you must delete the line below containing the word CacheID, otherwise Mathematica-compatible applications may try to use invalid cache data. For more information on notebooks and Mathematica-compatible applications, contact Wolfram Research: web: http://www.wolfram.com email: info@wolfram.com phone: +1-217-398-0700 (U.S.) Notebook reader applications are available free of charge from Wolfram Research. *******************************************************************) (*CacheID: 232*) (*NotebookFileLineBreakTest NotebookFileLineBreakTest*) (*NotebookOptionsPosition[ 760416, 14805]*) (*NotebookOutlinePosition[ 761065, 14827]*) (* CellTagsIndexPosition[ 761021, 14823]*) (*WindowFrame->Normal*) Notebook[{ Cell[CellGroupData[{ Cell["Computer Project #1", "Section"], Cell["Ben Sauerwine", "Text"], Cell[CellGroupData[{ Cell["Operator and Algorithm Definitions", "Subsection"], Cell["I have selected the infinity norm for all norms. ", "Text"], Cell[BoxData[{ \(\(A[i_, \ j_, \ n_, \ \[Alpha]_]\ := \ \ If[i \[Equal] j, \ If[Or[i \[Equal] 1, \ i \[Equal] n], \ 1, \ \[Alpha]], \ If[Or[i \[Equal] j + 1, i \[Equal] j - 1], \ \(-1\), \ 0]];\)\), "\[IndentingNewLine]", \(MultiplyA[x_, \ n_, \ \[Alpha]_]\ := \ Table[\[Sum]\+\(j = 1\)\%n A[i, \ j, \ n, \[Alpha]]\ x[\([j]\)\ ], \ {i, \ 1, \ n}]\), "\[IndentingNewLine]", \(\(InitialX[k_, \ n_]\ := \ Table[Cos[k\ \[Pi]\ \((i\ - \ 1\/2)\)\/\((n - \ 1\/2)\)], \ {i, \ 1, \ n}];\)\), "\[IndentingNewLine]", \(\(InfinityNorm[x_]\ := \ Max[Abs[x]];\)\[IndentingNewLine]\), "\[IndentingNewLine]", \(\(RichardsonStep[x_, \ b_, \ n_, \ \[Alpha]_]\ := \ Block[{r\ }, \ r\ = \ Table[ b[\([i]\)] - \ \[Sum]\+\(j = 1\)\%n A[i, \ j, \ n, \ \[Alpha]]\ x[\([j]\)], \ {i, \ 1, \ n}]; \ x\ + \ r];\)\), "\[IndentingNewLine]", \(\(JacobiStep[x_, \ b_, \ n_, \ \[Alpha]_]\ := \ \ Table[\(b[\([i]\)] - \ \[Sum]\+\(j = \ 1\)\%n If[Not[j \[Equal] i], A[i, \ j, \ n, \ \[Alpha]]\ x[\([j]\)], \ 0]\)\/A[i, \ i, \ \ n, \ \[Alpha]], \ {i, \ 1, \ n}];\)\), "\[IndentingNewLine]", \(\(GaussSeidlStep[x_, \ b_, \ n_, \ \[Alpha]_]\ := \ \ Block[{u\ = \ x}, For[i = 1, i \[LessEqual] n, \ \(i++\), \ u[\([i]\)]\ = \ \((b[\([i]\)]\ - \ \[Sum]\+\(j = 1\)\%n If[ Not[j \[Equal] i], A[i, \ j, \ n, \ \[Alpha]]\ u[\([j]\)], 0])\)/ A[i, \ i, \ n, \ \[Alpha]]]; \ u];\)\), "\[IndentingNewLine]", \(\(KaczmarzStep[x_, \ b_, \ n_, \ \[Alpha]_]\ := \ \ Block[{u\ = \ x}, For[i = 1, i \[LessEqual] n, \ \(i++\), \ u[\([i]\)]\ = u[\([i]\)]\ + \ \((\ \[Sum]\+\(k = 1\)\%n\((A[k, \ i, \ n, \ \[Alpha]] \((b[\([k]\)]\ - \ \[Sum]\+\(j = \ 1\)\%\(k\ - \ 1\)A[k, \ j, \ n, \ \[Alpha]]\ u[\([j]\)] - \ \ \[Sum]\+\(j = i\)\%n A[k, \ j, \ n, \ \[Alpha]]\ u[\([j]\)])\))\))\)/\((\ \[Sum]\+\(j = 1\)\%n\((A[i, \ j, \ n, \ \[Alpha]] A[i, \ j, \ n, \ \[Alpha]])\))\)]; \ u];\)\), "\[IndentingNewLine]", \(\(RunAlgorithm[algorithm_, \ steps_, \ x_, \ b_, \ n_, \ \[Alpha]_]\ := \ Block[{result, \ a, \ curr\ = \ x, \ residualnorms, \ errnorms}, result = {0, \ 0, \ 0}; \ errnorms = Table[0, \ {i, \ 1, steps}]; \ residualnorms = \ Table[0, \ {i, \ 0, \ steps}]\ ; \ For[a = 1, \ a \[LessEqual] \ steps, \ \(a++\), \ errnorms[\([a]\)]\ = \ InfinityNorm[curr]; \ residualnorms[\([a]\)]\ = \ InfinityNorm[MultiplyA[curr, \ n, \ \[Alpha]]\ - \ b]; \ curr\ = \ N[algorithm[curr, \ b, \ n, \ \[Alpha]]]]; \ result[\([1]\)]\ = \ curr; \ result[\([2]\)]\ = \ errnorms; \ result[\([3]\)]\ = \ residualnorms; \ result];\)\)}], "Input"] }, Open ]], Cell[CellGroupData[{ Cell["\<\ Experiment 1: Kaczmarz, k = 0, n = 64, vary \[Alpha]\ \>", "Subsection"], Cell["\<\ Take the Kaczmarz algorithm, use k = 0 for the initial estimate, n = 64. Use \ 50 steps, and try \[Alpha]=3, 2, 1.99, 1.95, 1.9, 1.5.\ \>", "Text"], Cell[BoxData[{ \(\(exp11\ = \ N[RunAlgorithm[KaczmarzStep, 50, \ InitialX[0, \ 64], \ Table[0, \ {i, \ 1, 64}], \ 64, \ 3]];\)\), "\[IndentingNewLine]", \(\(exp12\ = \ N[RunAlgorithm[KaczmarzStep, 50, \ InitialX[0, \ 64], \ Table[0, \ {i, \ 1, 64}], \ 64, \ 2]];\)\), "\[IndentingNewLine]", \(\(exp13\ = \ N[RunAlgorithm[KaczmarzStep, 50, \ InitialX[0, \ 64], \ Table[0, \ {i, \ 1, 64}], \ 64, \ 1.99]];\)\), "\[IndentingNewLine]", \(\(exp14\ = \ N[RunAlgorithm[KaczmarzStep, 50, \ InitialX[0, \ 64], \ Table[0, \ {i, \ 1, 64}], \ 64, \ 1.95]];\)\), "\[IndentingNewLine]", \(\(exp15\ = \ N[RunAlgorithm[KaczmarzStep, 50, \ InitialX[0, \ 64], \ Table[0, \ {i, \ 1, 64}], \ 64, \ 1.9]];\)\), "\[IndentingNewLine]", \(\(exp16\ = \ N[RunAlgorithm[KaczmarzStep, 50, \ InitialX[0, \ 64], \ Table[0, \ {i, \ 1, 64}], \ 64, \ 1.5]];\)\)}], "Input"], Cell["\<\ In all cases above, the algorithm converges to zero. (Raw Data Below)\ \>", "Text"], Cell[CellGroupData[{ Cell[BoxData[ \(\(\(\[IndentingNewLine]\)\(exp11\[IndentingNewLine] exp12\[IndentingNewLine] exp13\[IndentingNewLine] exp14\[IndentingNewLine] exp15\[IndentingNewLine] exp16\)\)\)], "Input"], Cell[BoxData[ \({{\(-1.3061253309384102`*^-14\), 5.748650912012765`*^-16, \(-2.0732041234355033`*^-15\), \ \(-2.2356518581978587`*^-15\), 8.537469054357731`*^-15, \(-9.246649954704458`*^-15\), \ \(-1.3490509762984082`*^-15\), 1.7344306458874102`*^-14, \(-1.7530808314042603`*^-14\), \ \(-9.891554846045796`*^-15\), 3.52116505172581`*^-14, \(-1.1317593351435003`*^-14\), \ \(-4.299089084041513`*^-14\), 3.724598069314181`*^-14, 4.176977500041091`*^-14, \(-6.006636902474165`*^-14\), \ \(-3.8174892533628726`*^-14\), 7.554668307162639`*^-14, 3.9034443495568505`*^-14, \(-8.087495095609651`*^-14\), \ \(-4.7046056554340045`*^-14\), 7.31802905645145`*^-14, 5.843250818513804`*^-14, \(-5.168679044210377`*^-14\), \ \(-6.417039400329646`*^-14\), 2.208541153250481`*^-14, 5.692134365394412`*^-14, 4.08674535563417`*^-15, \(-3.829450105134106`*^-14\), \ \(-1.751315783148362`*^-14\), 1.750055906510813`*^-14, 1.7750707170374568`*^-14, \(-3.0154094182274697`*^-15\), \ \(-1.1240950264753828`*^-14\), \(-3.0106550602608195`*^-15\), 4.636766470566064`*^-15, 3.4438482971895044`*^-15, \(-8.468705975147894`*^-16\), \ \(-1.9844261549785908`*^-15\), \(-4.2340356891292353`*^-16\), 7.174062642192433`*^-16, 4.755492371646737`*^-16, \(-1.144813083159923`*^-16\), \ \(-2.434694854717638`*^-16\), \(-4.957892528396365`*^-17\), 7.756963753543465`*^-17, 4.936015516933916`*^-17, \(-1.0831698901083624`*^-17\), \ \(-2.2671739180635296`*^-17\), \(-4.453243716020592`*^-18\), 6.627294136286873`*^-18, 4.011372372128823`*^-18, \(-9.155939881436677`*^-19\), \ \(-1.7328846755594365`*^-18\), \(-2.8571095617867423`*^-19\), 4.995928903463708`*^-19, 2.673552459080376`*^-19, \(-8.073263621486912`*^-20\), \ \(-1.1744416689517044`*^-19\), \(-1.1103137512045322`*^-20\), 3.6069189102157537`*^-20, 1.5229260080962342`*^-20, \(-7.997769605020126`*^-21\), \ \(-1.1613514842991234`*^-20\)}, {1.`, 1.`, 0.5495867768595042`, 0.22661920758020754`, 0.08456931217606045`, 0.034275801241743745`, 0.01615134530732739`, 0.007954469642536632`, 0.003693800894827192`, 0.0018464356982814403`, 0.001058427058705002`, 0.0005731001752154124`, 0.00029178690603871084`, 0.00013796487109226226`, 0.00008023171984410691`, 0.0000476897317689716`, 0.000027295229225587458`, 0.000014543688486330152`, 7.157479409993223`*^-6, 4.108897990375937`*^-6, 2.405133932876922`*^-6, 1.4316530755199454`*^-6, 7.89708033333942`*^-7, 4.022482410551551`*^-7, 2.1322791502858066`*^-7, 1.284189002886444`*^-7, 7.815974914877658`*^-8, 4.438213080599993`*^-8, 2.32978055994001`*^-8, 1.1227191764567811`*^-8, 6.973618727833181`*^-9, 4.336211716994729`*^-9, 2.528429353893737`*^-9, 1.364139346195274`*^-9, 6.748642026094523`*^-10, 3.823023736033033`*^-10, 2.420582457500814`*^-10, 1.4480093181719076`*^-10, 8.015839301468862`*^-11, 4.147335910449691`*^-11, 2.1068640708581978`*^-11, 1.3533212435163616`*^-11, 8.304824526975568`*^-12, 4.74376085836813`*^-12, 2.575824346134081`*^-12, 1.275582735772508`*^-12, 7.557709870455182`*^-13, 4.760201967574043`*^-13, 2.820195632054342`*^-13, 1.5772185047292584`*^-13}, {1.`, 0.6616161616161615`, 0.3926753974337244`, 0.2213422394992439`, 0.12080857347774387`, 0.06312415130926674`, 0.031299503760375005`, 0.014519317134982565`, 0.007148538214172254`, 0.004523152675968136`, 0.0026445920134653507`, 0.0014388227498652651`, 0.0007256490140831332`, 0.00033348117901442395`, 0.0002045466558096351`, 0.00012769798798388721`, 0.00007343119220886015`, 0.000039032684721396094`, 0.000018993496682858503`, 0.000010045843057494766`, 6.579761889499914`*^-6, 3.9393770468854254`*^-6, 2.1770266444774095`*^-6, 1.1058911533242576`*^-6, 5.227392952626648`*^-7, 3.4871962614924046`*^-7, 2.1604104470271168`*^-7, 1.233218827042364`*^-7, 6.489260969666462`*^-8, 3.1030309472609805`*^-8, 1.8700114909988547`*^-8, 1.1963224291108933`*^-8, 7.03176467409154`*^-9, 3.8339168332965224`*^-9, 1.9184857239975137`*^-9, 1.0065271380009298`*^-9, 6.649664346469158`*^-10, 4.0777059422066035`*^-10, 2.3237382608266602`*^-10, 1.2134975487300458`*^-10, 5.7111890335388434`*^-11, 3.697726067380188`*^-11, 2.3530421327692297`*^-11, 1.387001915570642`*^-11, 7.510799492410067`*^-12, 3.7017187636348286`*^-12, 2.0523366321350194`*^-12, 1.3451326366969874`*^-12, 8.187798432555558`*^-13, 4.580155565133633`*^-13, 0.`}}\)], "Output"], Cell[BoxData[ \({{2.7101883248521282`*^-9, 4.730232279390259`*^-10, \(-1.2496223853841448`*^-9\), 1.8015741776659188`*^-9, \(-6.289689503789619`*^-10\), \ \(-2.3220227188331512`*^-9\), 3.4616829440885567`*^-9, 1.1577669657458963`*^-11, \(-5.045002301056776`*^-9\), 4.1905646858820456`*^-9, 3.843546667115452`*^-9, \(-8.29467980899396`*^-9\), \ \(-2.2367531689012808`*^-11\), 1.0716727017014589`*^-8, \(-5.13006208112111`*^-9\), \ \(-1.1004675050409138`*^-8\), 1.0187223975268665`*^-8, 9.680689562468985`*^-9, \(-1.419743115226379`*^-8\), \ \(-7.695025959714505`*^-9\), 1.678324988194913`*^-8, 5.935375887751122`*^-9, \(-1.7944796782872065`*^-8\), \ \(-4.956650276312722`*^-9\), 1.7822559819542147`*^-8, 4.9064212214844874`*^-9, \(-1.6565459929244642`*^-8\), \ \(-5.573585811186074`*^-9\), 1.432816306837595`*^-8, 6.511897744142099`*^-9, \(-1.1340614519386807`*^-8\), \ \(-7.211329030098985`*^-9\), 7.96287973045454`*^-9, 7.280357474727335`*^-9, \(-4.659669377958499`*^-9\), \ \(-6.58010213407523`*^-9\), 1.888453341194702`*^-9, 5.253867398533093`*^-9, 4.1957639380811843`*^-11, \(-3.6393049847713137`*^-9\), \ \(-1.061289589946767`*^-9\), 2.1113125470616735`*^-9, 1.3267542426704038`*^-9, \(-9.377606625970948`*^-10\), \ \(-1.124414549163028`*^-9\), 2.1261526092078004`*^-10, 7.435461427585604`*^-10, 1.218503669349287`*^-10, \(-3.8687624199664284`*^-10\), \ \(-2.0033823744275658`*^-10\), 1.4480594372943416`*^-10, 1.586099799559321`*^-10, \(-2.1294137588406775`*^-11\), \ \(-8.975477353887791`*^-11\), \(-2.0912807821371537`*^-11\), 3.7123003747632804`*^-11, 2.334053714314082`*^-11, \(-9.252161792902714`*^-12\), \ \(-1.4050581376634412`*^-11\), \(-8.468634652605286`*^-13\), 5.7965939855627744`*^-12, 2.3622323392417542`*^-12, \(-1.6469022019310312`*^-12\), \ \(-2.0045672705863927`*^-12\)}, {1.`, 0.5`, 0.29166666666666663`, 0.1343703703703704`, 0.07743127572016462`, 0.04153858253315044`, 0.023410695381048886`, 0.018950853263861835`, 0.013506717592297792`, 0.00842650532298918`, 0.0049609461249442745`, 0.004204677491198817`, 0.003226887973467034`, 0.0021390796862462047`, 0.0011928258894105723`, 0.0010474261816952042`, 0.0008365834238960488`, 0.0005757611259768742`, 0.00033575058433858555`, 0.00027203426368672685`, 0.00022427557116437715`, 0.00015903638254055906`, 0.00009612910051900913`, 0.00007230199974618694`, 0.00006128845848442512`, 0.00004461406172221066`, 0.000027809872527963405`, 0.000019715325723476355`, 0.000016956551492709716`, 0.000012644269583835054`, 8.101152693614867`*^-6, 5.469377251400841`*^-6, 4.749217588098809`*^-6, 3.6089472051879925`*^-6, 2.371138826864969`*^-6, 1.5253016446977689`*^-6, 1.34537102593318`*^-6, 1.035187713822201`*^-6, 6.962982897572894`*^-7, 4.3146826261477115`*^-7, 3.8154344849879025`*^-7, 2.997306558285915`*^-7, 2.0493434850188435`*^-7, 1.2230181743834024`*^-7, 1.0832619270844468`*^-7, 8.719641847714927`*^-8, 6.040716627208584`*^-8, 3.597649218824993`*^-8, 3.10803658326225`*^-8, 2.5359553779135375`*^-8}, {0.`, 0.4`, 0.3111111111111111`, 0.20913580246913582`, 0.1280178326474623`, 0.07518747142203933`, 0.05508532743992278`, 0.037419385281401554`, 0.027039183138849`, 0.016721794716619005`, 0.011547851930710526`, 0.009085858435700256`, 0.00655324539354495`, 0.004333787502434324`, 0.0029173720916950098`, 0.002305507288678728`, 0.0016887903681226642`, 0.0011662468242264047`, 0.0007533052863088345`, 0.0005987154299509859`, 0.00046418289552815374`, 0.00032124053173957244`, 0.00019803630303047323`, 0.00016442056468145`, 0.0001284841097224625`, 0.00008983647351320269`, 0.0000562619617128675`, 0.00004530846147829105`, 0.00003576884570191315`, 0.000025669589223110415`, 0.000016375495214283722`, 0.000012445128022650778`, 0.000010005405686199088`, 7.419962002524947`*^-6, 4.785918019454714`*^-6, 3.5458727340213077`*^-6, 2.866397667506789`*^-6, 2.145762720811588`*^-6, 1.4029083701452304`*^-6, 1.0012592090435436`*^-6, 8.194199969338904`*^-7, 6.20881787625267`*^-7, 4.1719237597682336`*^-7, 2.826078892634779`*^-7, 2.3368157174706005`*^-7, 1.797300804734402`*^-7, 1.241263452854434`*^-7, 8.161524307830985`*^-8, 6.743594130236429`*^-8, 5.2475066380092065`*^-8, 0.`}}\)], "Output"], Cell[BoxData[ \({{3.0056793351643057`*^-9, 6.09225447359259`*^-10, \(-1.4837536631372187`*^-9\), 2.0020915225460042`*^-9, \(-5.379543668815709`*^-10\), \ \(-2.772108361564194`*^-9\), 3.7988092009656624`*^-9, 3.501409752026796`*^-10, \(-5.836940172619824`*^-9\), 4.3625715844054334`*^-9, 4.807568344525959`*^-9, \(-9.176402064468127`*^-9\), \ \(-7.521001537533506`*^-10\), 1.2242781128796623`*^-8, \(-4.9577337293982835`*^-9\), \ \(-1.2939013847045699`*^-8\), 1.0708299244407168`*^-8, 1.1757518750020214`*^-8, \(-1.5366785273767112`*^-8\), \ \(-9.719478576282392`*^-9\), 1.8437565857149753`*^-8, 7.81723116167214`*^-9, \(-1.9870680228341925`*^-8\), \ \(-6.691908108879241`*^-9\), 1.980489213398037`*^-8, 6.534403745391489`*^-9, \(-1.8414728898147745`*^-8\), \ \(-7.133221336653052`*^-9\), 1.5895734683210816`*^-8, 8.01200776228771`*^-9, \(-1.2529706437978383`*^-8\), \ \(-8.62142998226177`*^-9\), 8.736731921719564`*^-9, 8.541310262769305`*^-9, \(-5.043111837247644`*^-9\), \ \(-7.627733774121757`*^-9\), 1.9583199088809976`*^-9, 6.044625557662078`*^-9, 1.7810354928726472`*^-10, \(-4.167007998705165`*^-9\), \ \(-1.2927192884503966`*^-9\), 2.4087486699891487`*^-9, 1.56429089650128`*^-9, \(-1.0642341498805243`*^-9\), \ \(-1.314259828445993`*^-9\), 2.3465322031020895`*^-10, 8.674481925969113`*^-10, 1.4769622878389082`*^-10, \(-4.519632602729174`*^-10\), \ \(-2.3662529003595113`*^-10\), 1.6979889253034435`*^-10, 1.8722326011897868`*^-10, \(-2.5218930653447204`*^-11\), \ \(-1.0638185780244564`*^-10\), \(-2.4606285407164018`*^-11\), 4.4328381953359415`*^-11, 2.7700800557219655`*^-11, \(-1.1223981576842819`*^-11\), \ \(-1.6806760044061115`*^-11\), \(-9.12094938951044`*^-13\), 6.99704060672746`*^-12, 2.8049826836097142`*^-12, \(-2.011244744012959`*^-12\), \ \(-2.4081137138113366`*^-12\)}, {1.`, 0.49748326370362916`, 0.28860743152210355`, 0.13423563560733132`, 0.07734177395517121`, 0.041427200998372854`, 0.023617065231234538`, 0.019173896903287784`, 0.013653080897899654`, 0.008495912115269615`, 0.005068471883549306`, 0.004312773320337706`, 0.003300091068129729`, 0.0021787336004394156`, 0.0012053649985826257`, 0.0010885836724796288`, 0.0008654070703775814`, 0.0005924074513896717`, 0.000342344911689527`, 0.0002865967362063247`, 0.00023476194612137712`, 0.000165363482437824`, 0.0000989439181051564`, 0.00007725802409089692`, 0.00006494654374954016`, 0.00004689822052174867`, 0.000028907262817989593`, 0.000021387042194867877`, 0.000018198775976652093`, 0.000013442760426615813`, 8.507514980180861`*^-6, 5.992273186870199`*^-6, 5.158458300525428`*^-6, 3.881934103643911`*^-6, 2.5166557566096105`*^-6, 1.69950649381259`*^-6, 1.4817157455089126`*^-6, 1.1269894086751196`*^-6, 7.47184020291873`*^-7, 4.836319058046318`*^-7, 4.263010996099172`*^-7, 3.2963059561412717`*^-7, 2.2241326482262675`*^-7, 1.3963816443449924`*^-7, 1.2278755366129278`*^-7, 9.71561909009012`*^-8, 6.63272539448492`*^-8, 4.002910637223168`*^-8, 3.56318152442642`*^-8, 2.8638854373523566`*^-8}, {0.010000000000000009`, 0.399221238410132`, 0.3098595799179644`, 0.2086099539937555`, 0.12770042961971156`, 0.07612750011847305`, 0.055665546399870994`, 0.03777894663728841`, 0.027259888901505977`, 0.0168058061309347`, 0.011827633281442571`, 0.009267409746107952`, 0.00667911704764991`, 0.004398120941605209`, 0.003006420938045746`, 0.00238244392117`, 0.0017410925296647605`, 0.0011957053387040711`, 0.0007894111304510602`, 0.0006273517589186776`, 0.00048264263677910284`, 0.00033288710065437353`, 0.00020816229090205097`, 0.00017346034539438246`, 0.00013529877070896627`, 0.00009413094770347542`, 0.00005903788640823788`, 0.00004854546865446567`, 0.00003816438921153496`, 0.000027078221976760246`, 0.000017140314807139`, 0.00001355169932127691`, 0.000010821855302226071`, 7.923478057933333`*^-6, 5.063891560028754`*^-6, 3.877636405870692`*^-6, 3.12240917264787`*^-6, 2.320349174164954`*^-6, 1.5010378247857803`*^-6, 1.1143539090163976`*^-6, 9.059858866540898`*^-7, 6.80125683224502`*^-7, 4.488490436209539`*^-7, 3.1777464574920777`*^-7, 2.623719534981093`*^-7, 1.9951115914278682`*^-7, 1.352039734135761`*^-7, 9.267453020759292`*^-8, 7.609513519409337`*^-8, 5.8642152637334455`*^-8, 0.`}}\)], "Output"], Cell[BoxData[ \({{4.3731963327515184`*^-9, 1.471148941885785`*^-9, \(-2.8027108798609786`*^-9\), 2.9029092629236106`*^-9, 3.044339389142321`*^-10, \(-5.2992109872131975`*^-9\), 5.17269556928172`*^-9, 2.7520971590053416`*^-9, \(-9.964723071420721`*^-9\), 4.357280916782925`*^-9, 1.0486745153323043`*^-8, \(-1.2996669059513125`*^-8\), \ \(-5.864922783956096`*^-9\), 1.991355193772848`*^-8, \(-2.3171922649042423`*^-9\), \ \(-2.3417415986749127`*^-8\), 1.1547143358917675`*^-8, 2.364132647871839`*^-8, \(-1.9695053369637167`*^-8\), \ \(-2.1832684739464692`*^-8\), 2.5536771157782004`*^-8, 1.946962982132413`*^-8, \(-2.865460248661035`*^-8\), \ \(-1.7648621303972325`*^-8\), 2.9111834453918977`*^-8, 1.6828358785409396`*^-8, \(-2.7194782789892928`*^-8\), \ \(-1.6850158520498017`*^-8\), 2.3321948810545625`*^-8, 1.7135180808503935`*^-8, \(-1.8068257392544806`*^-8\), \ \(-1.697643430667249`*^-8\), 1.2187293941022657`*^-8, 1.584028802516417`*^-8, \(-6.5372674698407386`*^-9\), \ \(-1.3578747448161189`*^-8\), 1.899932627956692`*^-9, 1.0471721565283182`*^-8, 1.2289039689595593`*^-9, \(-7.087081340662073`*^-9\), \ \(-2.7636148433685886`*^-9\), 4.034510041951135`*^-9, 2.9978735870719223`*^-9, \(-1.7383697163800894`*^-9\), \ \(-2.4388339973735014`*^-9\), 3.303576893687383`*^-10, 1.5978551274779666`*^-9, 3.154911722882003`*^-10, \(-8.368005502402382`*^-10\), \ \(-4.588508045748672`*^-10\), 3.1888960676066636`*^-10, 3.6187856940302606`*^-10, \(-4.9130518435835743`*^-11\), \ \(-2.089071161006128`*^-10\), \(-4.6946566992679315`*^-11\), 8.964202192236804`*^-11, 5.4655491120482556`*^-11, \(-2.413842777407904`*^-11\), \ \(-3.421361691519351`*^-11\), \(-1.0050173649162953`*^-12\), 1.4772978764357846`*^-11, 5.524195662048347`*^-12, \(-4.447322255220563`*^-12\), \ \(-4.985758958634455`*^-12\)}, {1.`, 0.48707453683756996`, 0.27629941001005925`, 0.1335638065775774`, 0.07687996572292485`, 0.0408932804111356`, 0.02474617696414619`, 0.020069940035237842`, 0.014227531855791484`, 0.008751058640877886`, 0.005515985384006972`, 0.004761156521243548`, 0.003598041932948436`, 0.0023335916954346334`, 0.0013771686329574506`, 0.0012645478906601593`, 0.00098624243799256`, 0.0006596406982775266`, 0.0003781694457393917`, 0.00035081225610717994`, 0.00028000556322461777`, 0.0001916719011580143`, 0.00010988869506826904`, 0.00009975879541382495`, 0.00008119167481537645`, 0.00005666381892893991`, 0.00003319097192673388`, 0.00002918683091680035`, 0.000023879760766207985`, 0.00001695237190503702`, 0.000010147097100317878`, 8.608231318634802`*^-6, 7.095060124618611`*^-6, 5.115835010191661`*^-6, 3.1222662851402493`*^-6, 2.5550380367485`*^-6, 2.1370005438753594`*^-6, 1.5539289528246601`*^-6, 9.654449084212233`*^-7, 7.705906301068111`*^-7, 6.485149868364643`*^-7, 4.743810204877575`*^-7, 2.9966357358056196`*^-7, 2.324903625609406`*^-7, 1.9732578356898703`*^-7, 1.454939621546089`*^-7, 9.329033002790965`*^-8, 7.026666970681017`*^-8, 6.017368575092471`*^-8, 4.507073183565051`*^-8}, {0.050000000000000044`, 0.39585923475841955`, 0.30480068921103975`, 0.20641151315495168`, 0.1263070851155617`, 0.07983303910078646`, 0.057920590982341966`, 0.03919237268930319`, 0.02809935689788692`, 0.017085789386087825`, 0.012970874659135599`, 0.009993386814756245`, 0.007182546822881819`, 0.004641905108668942`, 0.003373115294210535`, 0.00270211881126838`, 0.001957369965404046`, 0.0013123835687996704`, 0.0009443367683383227`, 0.0007504728655903293`, 0.0005594391494258483`, 0.0003805646513665858`, 0.0002629701975573313`, 0.00021280083806062385`, 0.00016461310754478024`, 0.00011224517433914801`, 0.00007644088187390534`, 0.00006306221256933655`, 0.00004880804493251902`, 0.000033504734658216866`, 0.000022649596048382854`, 0.000018699807753269327`, 0.000014568405568926084`, 0.00001010867612887894`, 6.647396043453374`*^-6, 5.555211366031117`*^-6, 4.372439224869113`*^-6, 3.10329794236386`*^-6, 1.987791437592046`*^-6, 1.6618697786795142`*^-6, 1.3189404778963355`*^-6, 9.545706128728834`*^-7, 6.039253595369607`*^-7, 5.066433432863771`*^-7, 4.042405905233078`*^-7, 2.9417459841978704`*^-7, 1.8477449125506186`*^-7, 1.5396454380259826`*^-7, 1.2389940277620209`*^-7, 9.080941084283813`*^-8, 0.`}}\)], "Output"], Cell[BoxData[ \({{6.221123530933277`*^-9, 3.6967426917849916`*^-9, \(-5.606551158917921`*^-9\), 3.952509496323908`*^-9, 3.317413430451915`*^-9, \(-1.0604815645525705`*^-8\), 6.128027148009994`*^-9, 9.624554852118657`*^-9, \(-1.7424768471606234`*^-8\), 8.014298358909893`*^-10, 2.3320381106600485`*^-8, \(-1.688451725791454`*^-8\), \ \(-2.0224184025799732`*^-8\), 3.273324270416961`*^-8, 9.2325943405406`*^-9, \(-4.403412979187218`*^-8\), 5.821865377446673`*^-9, 4.947446379104895`*^-8, \(-2.080260817820004`*^-8\), \ \(-5.014811924860035`*^-8\), 3.272025340541726`*^-8, 4.8175160259267154`*^-8, \(-4.005291488934849`*^-8\), \ \(-4.549464279380673`*^-8\), 4.243644228864821`*^-8, 4.320615368715285`*^-8, \(-4.024409652935302`*^-8\), \ \(-4.1445422638249385`*^-8\), 3.431741647198271`*^-8, 3.9637028381261555`*^-8, \(-2.5852518345590354`*^-8\), \ \(-3.694719400442897`*^-8\), 1.6311595094967608`*^-8, 3.2760293251699706`*^-8, \(-7.2370643217215374`*^-9\), \ \(-2.7009458051932825`*^-8\), \(-4.809684805953034`*^-11\), 2.0240943729385753`*^-8, 4.749688865427991`*^-9, \(-1.3401077177275949`*^-8\), \ \(-6.768453900786942`*^-9\), 7.462557163819123`*^-9, 6.62947616538226`*^-9, \(-3.0776707678764265`*^-9\), \ \(-5.207029090100193`*^-9\), 4.125839664747576`*^-10, 3.3814276699744055`*^-9, 7.964517081588891`*^-10, \(-1.780696249300595`*^-9\), \ \(-1.0405718746266246`*^-9\), 6.896071242763474`*^-10, 8.159605735941306`*^-10, \(-1.1031626830111652`*^-10\), \ \(-4.798088967048395`*^-10\), \(-1.0422745733180027`*^-10\), 2.1334652346613187`*^-10, 1.261527058468469`*^-10, \(-6.180326213103282`*^-11\), \ \(-8.206315324278787`*^-11\), 2.984051344655547`*^-13, 3.708226696307853`*^-11, 1.2589839133151024`*^-11, \(-1.1816832849775094`*^-11\), \ \(-1.2203335991463059`*^-11\)}, {1.`, 0.4732620320855614`, 0.26076667905859463`, 0.1324171315271842`, 0.07605970545714805`, 0.040016104488022126`, 0.026198570123539676`, 0.021189077893368`, 0.014909092365151136`, 0.009007348266617156`, 0.006113879576160917`, 0.005353852897067372`, 0.003976415159929976`, 0.0025121493908701214`, 0.0016750255757720497`, 0.0015096530845803502`, 0.0011478415697915674`, 0.0007422260973313463`, 0.0004969023434273626`, 0.00044508421275633387`, 0.0003435428382244128`, 0.0002256631116006807`, 0.0001507575784815722`, 0.00013469087203884372`, 0.00010513037225908024`, 0.00006988107888744855`, 0.000047168643068911184`, 0.000041706071932919104`, 0.0000326649384091523`, 0.000021921337257264375`, 0.00001480977261659062`, 0.000013122195799725872`, 0.000010262186412560717`, 6.942773827956893`*^-6, 4.6713275173554144`*^-6, 4.156670021635642`*^-6, 3.2512000166542097`*^-6, 2.2151441073067273`*^-6, 1.492712424154898`*^-6, 1.324060810456885`*^-6, 1.0372836615397486`*^-6, 7.109042943337964`*^-7, 4.815793620179449`*^-7, 4.2372966996529125`*^-7, 3.347213790184871`*^-7, 2.2923562275404504`*^-7, 1.5535132484741147`*^-7, 1.3634856914445146`*^-7, 1.083435992227631`*^-7, 7.420932020227007`*^-8}, {0.10000000000000009`, 0.3910782610670208`, 0.2983698320855864`, 0.20344281088134614`, 0.12427086204012386`, 0.08431006071892316`, 0.06056033569710826`, 0.04088185856418165`, 0.029029242072233712`, 0.018365513323890657`, 0.014440928032851828`, 0.010884564926657233`, 0.007800105633697139`, 0.005000329583969146`, 0.0038473479532429985`, 0.0031228639447867983`, 0.0022390876614545568`, 0.001449803627751618`, 0.0011599504952352708`, 0.000922419823975801`, 0.0006669838960851153`, 0.00044020956050771153`, 0.00034851075447401994`, 0.000278633824504749`, 0.00020501899256474723`, 0.00013610302556866084`, 0.00010574358054763177`, 0.00008556274438131374`, 0.00006430344188840538`, 0.000042628954591560745`, 0.0000327669939639351`, 0.000026827139473135555`, 0.000020321572037145385`, 0.000013481947682342731`, 0.000010427985322276917`, 8.529026518834484`*^-6, 6.4632030312240875`*^-6, 4.295961679027322`*^-6, 3.31301504563665`*^-6, 2.7210437260075114`*^-6, 2.0665885282779316`*^-6, 1.3770857269815642`*^-6, 1.0535209746075249`*^-6, 8.711295154265066`*^-7, 6.637521550173435`*^-7, 4.4378164814989213`*^-7, 3.3567095134772036`*^-7, 2.7979317839448165`*^-7, 2.1399592510249027`*^-7, 1.4449907377861842`*^-7, 0.`}}\)], "Output"], Cell[BoxData[ \({{\(-8.701399566176489`*^-7\), \(-2.32987669473508`*^-7\), 6.3862449811994`*^-7, \(-4.971126963999597`*^-7\), \ \(-1.898635800996568`*^-7\), 1.0177748807934748`*^-6, \(-7.14159650306`*^-7\), \ \(-7.871807285661011`*^-7\), 1.6104650214007693`*^-6, \(-2.1196900033543906`*^-7\), \ \(-1.9355158300482144`*^-6\), 1.5742050265321196`*^-6, 1.444448625515665`*^-6, \(-2.770016772364911`*^-6\), \ \(-2.766127978087612`*^-7\), 3.425664063008688`*^-6, \(-1.2089284457065412`*^-6\), \ \(-3.435814287935812`*^-6\), 2.639914133107232`*^-6, 2.9197396955480675`*^-6, \(-3.762393675889884`*^-6\), \ \(-2.10776169779389`*^-6\), 4.474144981716934`*^-6, 1.2351765270500585`*^-6, \(-4.792057494014882`*^-6\), \ \(-4.790001083396229`*^-7\), 4.796527009367303`*^-6, \(-6.203417321854697`*^-8\), \ \(-4.582832530228895`*^-6\), 3.595514952244695`*^-7, 4.23179886592058`*^-6, \(-4.359135160338481`*^-7\), \ \(-3.799510870510742`*^-6\), 3.4350918282721305`*^-7, 3.320064721239193`*^-6, \(-1.4752794005466284`*^-7\), \ \(-2.8143334610338276`*^-6\), \(-8.703747617680941`*^-8\), 2.299087524781503`*^-6, 3.048044913484807`*^-7, \(-1.7929651518817746`*^-6\), \ \(-4.663430587508727`*^-7\), 1.3179671844747383`*^-6, 5.513874689736415`*^-7, \(-8.970006220434589`*^-7\), \ \(-5.586200144904394`*^-7\), 5.492638309489389`*^-7, 5.020953701939646`*^-7, \(-2.857465061741608`*^-7\), \ \(-4.0515069910303245`*^-7\), 1.0675434937573008`*^-7, 2.933769228301689`*^-7, \(-2.3641084356614456`*^-9\), \ \(-1.8847990912573804`*^-7\), \(-4.4498085585451435`*^-8\), 1.0446512783125683`*^-7, 5.3593210842580124`*^-8, \(-4.6691956273751405`*^-8\), \ \(-4.305021866997313`*^-8\), 1.3434510929942812`*^-8, 2.652486458393553`*^-8, 1.2490439855129549`*^-9, \(-1.2628291371003135`*^-8\), \ \(-6.938667678258045`*^-9\)}, {1.`, 0.38431372549019605`, 0.193290363434878`, 0.11017627998479454`, 0.058035672093093765`, 0.042646526126403995`, 0.03718979875234475`, 0.026954290179422587`, 0.017211813891806323`, 0.016080401073042663`, 0.013359170794436784`, 0.00943477243899369`, 0.007302153869859082`, 0.0066126682222964455`, 0.00532044647712434`, 0.0035705040374325136`, 0.0032815494385982635`, 0.0028219810231752893`, 0.0021833739436224442`, 0.0016502974993980466`, 0.001501676880283216`, 0.001246973539041921`, 0.0008977339414457412`, 0.0007748558831161885`, 0.0006878092632657894`, 0.0005488018710271445`, 0.0003947256701559913`, 0.00036369593888136304`, 0.00031248089983953835`, 0.00023836344654508645`, 0.0001881880055581001`, 0.0001723491105279554`, 0.000142726432431018`, 0.00010136657143971074`, 0.00009249002155161474`, 0.00008157275703941786`, 0.00006445811774119465`, 0.0000488193724807692`, 0.00004471663499170452`, 0.00003786609347293316`, 0.000028445540523296074`, 0.000023942388773032944`, 0.00002141991253431243`, 0.000017565728334164483`, 0.000012641404560584832`, 0.000011739275091600484`, 0.000010251496831435051`, 7.991301528807299`*^-6, 6.304449190886207`*^-6, 5.742044838561329`*^-6}, {0.5`, 0.32549019607843144`, 0.24432934365143033`, 0.17619197885316507`, 0.14515390769799674`, 0.10673331064694078`, 0.07195436436637029`, 0.05808143869097912`, 0.0406926723091864`, 0.03217430527660714`, 0.023246666949827424`, 0.018596354469957405`, 0.015443422713871365`, 0.012241089188811286`, 0.009149251911838883`, 0.0073631531998594`, 0.00628385616296794`, 0.005022719059070143`, 0.003816231210576724`, 0.0031980111237328197`, 0.0026684815153425736`, 0.0021137316017387376`, 0.001686743344734467`, 0.0014423453976819115`, 0.0011859515443849822`, 0.0008987578054153826`, 0.0007686186720922697`, 0.0006584361047112946`, 0.0005330177076640886`, 0.0003995461673871021`, 0.00035437510534148465`, 0.00030020375044218493`, 0.0002368442494290002`, 0.0001860669547403278`, 0.00016340717085523726`, 0.00013721083551739905`, 0.0001050440958427143`, 0.00008962467753353608`, 0.00007793167911452332`, 0.00006340863108577442`, 0.00004844975852146109`, 0.00004311430430095327`, 0.00003657009996917638`, 0.000028692150191357637`, 0.000023422297424994332`, 0.00002045723642144141`, 0.00001703083119706512`, 0.00001298953743924149`, 0.000011197484808104762`, 9.80129778525593`*^-6, 0.`}}\)], "Output"] }, Closed]], Cell["\<\ The error (from zero) converges fairly quickly, with residuals below 0.001 \ after 12 steps. \ \>", "Text"], Cell[BoxData[{ \(\(PlotExp11\ = \ ListPlot[ exp11[\([2]\)], \ {PlotRange \[Rule] {{0, \ 8}, \ {0, \ 1}}, PlotJoined \[Rule] True, PlotStyle \[Rule] Hue[0.1]}];\)\), "\[IndentingNewLine]", \(\(PlotExp12\ = \ ListPlot[ exp12[\([2]\)], \ {PlotRange \[Rule] {{0, \ 8}, \ {0, \ 1}}, PlotJoined \[Rule] True, PlotStyle \[Rule] Hue[0.2]}];\)\), "\[IndentingNewLine]", \(\(PlotExp13\ = \ ListPlot[ exp13[\([2]\)], \ {PlotRange \[Rule] {{0, \ 8}, \ {0, \ 1}}, PlotJoined \[Rule] True, PlotStyle \[Rule] Hue[0.3]}];\)\), "\[IndentingNewLine]", \(\(PlotExp14\ = \ ListPlot[ exp14[\([2]\)], \ {PlotRange \[Rule] {{0, \ 8}, \ {0, \ 1}}, PlotJoined \[Rule] True, PlotStyle \[Rule] Hue[0.4]}];\)\), "\[IndentingNewLine]", \(\(PlotExp15\ = \ ListPlot[ exp15[\([2]\)], \ {PlotRange \[Rule] {{0, \ 8}, \ {0, \ 1}}, PlotJoined \[Rule] True, PlotStyle \[Rule] Hue[0.5]}];\)\), "\[IndentingNewLine]", \(\(PlotExp16\ = \ ListPlot[ exp16[\([2]\)], \ {PlotRange \[Rule] {{0, \ 8}, \ {0, \ 1}}, PlotJoined \[Rule] True, PlotStyle \[Rule] Hue[0.6]}];\)\), "\[IndentingNewLine]", \(Show[{PlotExp11, \ PlotExp12, \ PlotExp13, \ PlotExp14, \ PlotExp15, \ PlotExp16}]\), "\[IndentingNewLine]", \(\)}], "Input"], Cell["\<\ Kaczmarz' error norms appear to converge most quickly for larger \[Alpha], \ corresponding below to \"hotter\" colors (more red below means larger \ \[Alpha]). Note that while initially the dark blue \[Alpha]=1.5 curve \ converges more quickly, the red \[Alpha]=3 curve eventually overtakes it. \ Shown below is error norms versus iteration.\ \>", "Text"], Cell[GraphicsData["PostScript", "\<\ %! %%Creator: Mathematica %%AspectRatio: .61803 MathPictureStart /Mabs { Mgmatrix idtransform Mtmatrix dtransform } bind def /Mabsadd { Mabs 3 -1 roll add 3 1 roll add exch } bind def %% Graphics %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10 scalefont setfont % Scaling calculations 0 0.125 0 0.618034 [ [.125 -0.0125 -3 -9 ] [.125 -0.0125 3 0 ] [.25 -0.0125 -3 -9 ] [.25 -0.0125 3 0 ] [.375 -0.0125 -3 -9 ] [.375 -0.0125 3 0 ] [.5 -0.0125 -3 -9 ] [.5 -0.0125 3 0 ] [.625 -0.0125 -3 -9 ] [.625 -0.0125 3 0 ] [.75 -0.0125 -3 -9 ] [.75 -0.0125 3 0 ] [.875 -0.0125 -3 -9 ] [.875 -0.0125 3 0 ] [1 -0.0125 -3 -9 ] [1 -0.0125 3 0 ] [-0.0125 .12361 -18 -4.5 ] [-0.0125 .12361 0 4.5 ] [-0.0125 .24721 -18 -4.5 ] [-0.0125 .24721 0 4.5 ] [-0.0125 .37082 -18 -4.5 ] [-0.0125 .37082 0 4.5 ] [-0.0125 .49443 -18 -4.5 ] [-0.0125 .49443 0 4.5 ] [-0.0125 .61803 -6 -4.5 ] [-0.0125 .61803 0 4.5 ] [ 0 0 0 0 ] [ 1 .61803 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath 0 g .25 Mabswid [ ] 0 setdash .125 0 m .125 .00625 L s [(1)] .125 -0.0125 0 1 Mshowa .25 0 m .25 .00625 L s [(2)] .25 -0.0125 0 1 Mshowa .375 0 m .375 .00625 L s [(3)] .375 -0.0125 0 1 Mshowa .5 0 m .5 .00625 L s [(4)] .5 -0.0125 0 1 Mshowa .625 0 m .625 .00625 L s [(5)] .625 -0.0125 0 1 Mshowa .75 0 m .75 .00625 L s [(6)] .75 -0.0125 0 1 Mshowa .875 0 m .875 .00625 L s [(7)] .875 -0.0125 0 1 Mshowa 1 0 m 1 .00625 L s [(8)] 1 -0.0125 0 1 Mshowa .125 Mabswid .025 0 m .025 .00375 L s .05 0 m .05 .00375 L s .075 0 m .075 .00375 L s .1 0 m .1 .00375 L s .15 0 m .15 .00375 L s .175 0 m .175 .00375 L s .2 0 m .2 .00375 L s .225 0 m .225 .00375 L s .275 0 m .275 .00375 L s .3 0 m .3 .00375 L s .325 0 m .325 .00375 L s .35 0 m .35 .00375 L s .4 0 m .4 .00375 L s .425 0 m .425 .00375 L s .45 0 m .45 .00375 L s .475 0 m .475 .00375 L s .525 0 m .525 .00375 L s .55 0 m .55 .00375 L s .575 0 m .575 .00375 L s .6 0 m .6 .00375 L s .65 0 m .65 .00375 L s .675 0 m .675 .00375 L s .7 0 m .7 .00375 L s .725 0 m .725 .00375 L s .775 0 m .775 .00375 L s .8 0 m .8 .00375 L s .825 0 m .825 .00375 L s .85 0 m .85 .00375 L s .9 0 m .9 .00375 L s .925 0 m .925 .00375 L s .95 0 m .95 .00375 L s .975 0 m .975 .00375 L s .25 Mabswid 0 0 m 1 0 L s 0 .12361 m .00625 .12361 L s [(0.2)] -0.0125 .12361 1 0 Mshowa 0 .24721 m .00625 .24721 L s [(0.4)] -0.0125 .24721 1 0 Mshowa 0 .37082 m .00625 .37082 L s [(0.6)] -0.0125 .37082 1 0 Mshowa 0 .49443 m .00625 .49443 L s [(0.8)] -0.0125 .49443 1 0 Mshowa 0 .61803 m .00625 .61803 L s [(1)] -0.0125 .61803 1 0 Mshowa .125 Mabswid 0 .0309 m .00375 .0309 L s 0 .0618 m .00375 .0618 L s 0 .09271 m .00375 .09271 L s 0 .15451 m .00375 .15451 L s 0 .18541 m .00375 .18541 L s 0 .21631 m .00375 .21631 L s 0 .27812 m .00375 .27812 L s 0 .30902 m .00375 .30902 L s 0 .33992 m .00375 .33992 L s 0 .40172 m .00375 .40172 L s 0 .43262 m .00375 .43262 L s 0 .46353 m .00375 .46353 L s 0 .52533 m .00375 .52533 L s 0 .55623 m .00375 .55623 L s 0 .58713 m .00375 .58713 L s .25 Mabswid 0 0 m 0 .61803 L s 0 0 m 1 0 L 1 .61803 L 0 .61803 L closepath clip newpath 1 .6 0 r .5 Mabswid .125 .61803 m .25 .61803 L .375 .33966 L .5 .14006 L .625 .05227 L .75 .02118 L .875 .00998 L 1 .00492 L s 1 .00492 m 1 .00492 L s .8 1 0 r .125 .61803 m .25 .30902 L .375 .18026 L .5 .08305 L .625 .04786 L .75 .02567 L .875 .01447 L 1 .01171 L s 1 .01171 m 1 .01171 L s .2 1 0 r .125 .61803 m .25 .30746 L .375 .17837 L .5 .08296 L .625 .0478 L .75 .0256 L .875 .0146 L 1 .01185 L s 1 .01185 m 1 .01185 L s 0 1 .4 r .125 .61803 m .25 .30103 L .375 .17076 L .5 .08255 L .625 .04751 L .75 .02527 L .875 .01529 L 1 .0124 L s 1 .0124 m 1 .0124 L s 0 1 1 r .125 .61803 m .25 .29249 L .375 .16116 L .5 .08184 L .625 .04701 L .75 .02473 L .875 .01619 L 1 .0131 L s 1 .0131 m 1 .0131 L s 0 .4 1 r .125 .61803 m .25 .23752 L .375 .11946 L .5 .06809 L .625 .03587 L .75 .02636 L .875 .02298 L 1 .01666 L s 1 .01666 m 1 .01666 L s % End of Graphics MathPictureEnd \ \>"], "Graphics", ImageSize->{514, 317.563}, ImageMargins->{{43, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, ImageCache->GraphicsData["Bitmap", "\<\ CF5dJ6E]HGAYHf4PAg9QL6QYHgP3oool0103OW4P000000000B02Lgolg 0?ooo`040=nLB0000000000004RLgcP0oooo00D0oono07@000000000001809cOo`0h0?ooo`030=nL B01d_ol0oooo03P0oooo00@0_g@0000000000000B9cO1@3oool005D0oooo00<0okmd04RLg`3oool0 >03oool00`2LB000001d0;ooo`0h0?ooo`060?oOW018B9`0oooo0?oo_`1d04P0W=oo>P3oool00`3o _g@0B9cO0?ooo`0f0?ooo`060?oOW018B9`0oooo0?ooo`2LB4P0W=oo=`3oool01@2oM000M;oo0?oo o`3ookl0_koo03P0oooo00<0oono07Ad_`3oool0=`3oool01@3ookl0M7Bo0?ooo`3oool0W7BL00D0 oooo001E0?ooo`030?noM018W=l0oooo03T0oooo00<0okmd0000001d_ol0>@3oool00`2oM0000000 07Boo`0h0?ooo`060?oo_`1d000000000000000004P0W=oo>P3oool00`2oM4P0W=oo0?ooo`0e0?oo o`060?oo_`1d0000B9cO0?ooo`3OW4P0M;oo>@3oool00`2oM7@0_ooo0?ooo`0g0?ooo`0409adW03o ool0oono07Ad_`D0oooo001E0?ooo`030?noM018W=l0oooo03X0oooo00<0oono0;noo`3oool0>@3o ool00`3ookl0M4RL0?ooo`0h0?ooo`040;md001d_ol0okmd04RLgcP0oooo00@0_g@0000000000000 07Bo>03oool0102LB7@0B4P000000000B9`j0?ooo`030?noM018W=l0oooo03L0oooo00@0_g@00000 00000000B9cO1@3oool005@0oooo00<0W4Qd0;noM018W=l0>03oool01P3ogi`0B4RL0?ooo`3ookl0 M01d0;ooocH0oooo00H0oono07@0B02Lgol0oono07@0M02ooolh0?ooo`040?oo_`1d04P0W9ad04RL gcP0oooo00<0_gA809cOo`3oool0>@3oool00`3o_g@004RL0?ooo`0h0?ooo`050?oOW018M;l0oooo 0?oo_`1dB9`0=`3oool01@3ookl0M4RL0?ooo`3ookl0M4RL00D0oooo001D0?ooo`030?noM0000000 B9cO03T0oooo00@0gia8000000000000B9cO>03oool0103ogi`0B0000000001d_olj0?ooo`030?oO W0180000B9cO03P0oooo00@0_g@000000000000007Bo>@3oool0103OW4P000000000001d_olf0?oo o`060?oOW018000000000000000007@0_ooo=`3oool0103OW4P000000000001d_ol50?ooo`00o`3o oooo0?ooo`@0oooo003o0?ooool0oooo103oool00?l0ooooo`3oool40?ooo`00o`3ooooo0?ooo`@0 oooo003o0?ooool0oooo103oool00?l0ooooo`3oool40?ooo`00o`3ooooo0?ooo`@0oooo003o0?oo ool0oooo103oool001X0ooooo`00003S000000H0oooo000J0?ooo`030000003oool0oooo00T0oooo 00<000000?ooo`3oool02@3oool00`000000oooo0?ooo`090?ooo`030000003oool0oooo00T0oooo 00<000000?ooo`3oool02@3oool00`000000oooo0?ooo`090?ooo`030000003oool0oooo00T0oooo 00<000000?ooo`3oool02@3oool00`000000oooo0?ooo`090?ooo`030000003oool0oooo00T0oooo 00<000000?ooo`3oool02@3oool00`000000oooo0?ooo`090?ooo`030000003oool0oooo00T0oooo 00<000000?ooo`3oool02@3oool00`000000oooo0?ooo`090?ooo`030000003oool0oooo00T0oooo 00<000000?ooo`3oool02@3oool00`000000oooo0?ooo`090?ooo`030000003oool0oooo00T0oooo 00<000000?ooo`3oool02P3oool00`000000oooo0?ooo`090?ooo`030000003oool0oooo00T0oooo 00<000000?ooo`3oool02@3oool00`000000oooo0?ooo`090?ooo`030000003oool0oooo00T0oooo 00<000000?ooo`3oool02@3oool00`000000oooo0?ooo`090?ooo`030000003oool0oooo00T0oooo 00<000000?ooo`3oool02@3oool00`000000oooo0?ooo`090?ooo`030000003oool0oooo00T0oooo 00<000000?ooo`3oool02@3oool00`000000oooo0?ooo`090?ooo`030000003oool0oooo00T0oooo 00<000000?ooo`3oool02@3oool00`000000oooo0?ooo`090?ooo`030000003oool0oooo00T0oooo 00<000000?ooo`3oool02@3oool00`000000oooo0?ooo`090?ooo`030000003oool0oooo00T0oooo 00<000000?ooo`3oool0103oool001X0oooo00<000000?ooo`3oool02@3oool00`000000oooo0?oo o`090?ooo`030000003oool0oooo00T0oooo00<000000?ooo`3oool02@3oool00`000000oooo0?oo o`090?ooo`030000003oool0oooo00T0oooo00<000000?ooo`3oool02@3oool00`000000oooo0?oo o`090?ooo`030000003oool0oooo00T0oooo00<000000?ooo`3oool02@3oool00`000000oooo0?oo o`090?ooo`030000003oool0oooo00T0oooo00<000000?ooo`3oool02@3oool00`000000oooo0?oo o`090?ooo`030000003oool0oooo00T0oooo00<000000?ooo`3oool02@3oool00`000000oooo0?oo o`090?ooo`030000003oool0oooo00T0oooo00<000000?ooo`3oool02@3oool00`000000oooo0?oo o`0:0?ooo`030000003oool0oooo00T0oooo00<000000?ooo`3oool02@3oool00`000000oooo0?oo o`090?ooo`030000003oool0oooo00T0oooo00<000000?ooo`3oool02@3oool00`000000oooo0?oo o`090?ooo`030000003oool0oooo00T0oooo00<000000?ooo`3oool02@3oool00`000000oooo0?oo o`090?ooo`030000003oool0oooo00T0oooo00<000000?ooo`3oool02@3oool00`000000oooo0?oo o`090?ooo`030000003oool0oooo00T0oooo00<000000?ooo`3oool02@3oool00`000000oooo0?oo o`090?ooo`030000003oool0oooo00T0oooo00<000000?ooo`3oool02@3oool00`000000oooo0?oo o`090?ooo`030000003oool0oooo00T0oooo00<000000?ooo`3oool02P3oV@060?ooo`006P3oool0 0`000000oooo0?ooo`0i0?ooo`030000003oool0oooo03T0oooo00<000000?ooo`3oool0>@3oool0 0`000000oooo0?ooo`0j0?ooo`030000003oool0oooo03T0oooo00<000000?ooo`3oool0>@3oool0 0`000000oooo0?ooo`0i0?ooo`030000003oool0oooo01`0oooo503oV@090?ooo`030000003oool0 oooo00@0oooo000J0?ooo`030000003oool0oooo0?l0oooo[P3ooolD0?nI02@0oooo000J0?ooo`03 0000003oool0oooo0?l0ooooWP3oool@0?nI0340oooo00<0d0oooo0`00I_lC0?ooo`@00?oo0P00ofHE0?ooo`80oiT0a@3oool001X0oooo00<000000?oo o`3oool0j`3oool2001Voa80oooo1000ool2003oIQP0oooo00<0oiT00?ooo`3oool0a@3oool001X0 oooo00<000000?ooo`3oool0j03oool3001Voa40oooo0`00ool3003oIQX0oooo00<0oiT00?ooo`3o ool0aP3oool001X0oooo00<000000?ooo`3oool0iP3oool2001Voa00oooo1000ool2003oIQ`0oooo 0P3oV@390?ooo`006P3oool00`000000oooo0?ooo`3S0?ooo`<006Ko3P3oool4003oo`<00?mV7P3o ool00`3oV@00oooo0?ooo`390?ooo`006P3oool00`000000oooo0?ooo`3Q0?ooo`8006Ko3@3oool4 003oo`<00?mV803oool20?nI0<`0oooo000J0?ooo`030000003oool0oooo0=h0oooo0`00I_l=0?oo o`800?oo1000ofHR0?ooo`030?nI003oool0oooo0<`0oooo000J0?ooo`030000003oool0oooo0=/0 oooo0`00I_l>0?ooo`800?oo0P00ofHT0?ooo`80oiT0c`3oool001X0oooo00<000000?ooo`3oool0 f@3oool2001Vo`l0oooo0P00ool2003oIRD0oooo00<0oiT00?ooo`3oool0c`3oool001X0oooo00<0 00000?ooo`3oool0eP3oool3001Voa00oooo00@00?oo0?ooo`00ofH0<0oooo000J0?oo o`030000003oool0oooo0;D0oooo0`00I_lL0?ooo`800?oo0P3oool01000ofH0oooo03?o003<0oooo000J0?ooo`030000003oool0oooo0;<0oooo0P00I_lM0?oo o`800?oo0`3oool00`00ofH0oooo03?o000T0?ooo`030?nI003oool0oooo0>@0oooo00030?ooo`04 0=nLB0000000000004RLg`80oooo00<0oono07@00000B9`00P3oool01P3o_g@00000000000000000 001d0;ooo`H0oooo00<000000?ooo`3oool0/@3oool2001Voah0oooo00@00?oo0?ooo`3oool0oooo 0P00ofH203?o02<0oooo0P3oV@3W0?ooo`000`3oool01@2LM9`0oooo0?ooo`2LB7@0_ooo00L0oooo 00<0W4P00000M02oool0203oool00`000000oooo0?ooo`2`0?ooo`03001Vo`3oool0oooo01`0oooo 0P00ool30?ooo`04003oIP3oool0X0oooo00030?ooo`0509a8B02L gol0oono07@0M02oool01P3oool01P3ogi`0B4RL0?ooo`3ookl0M01d0;ooo`H0oooo00<000000?oo o`3oool0[@3oool00`00I_l0oooo0?ooo`0J0?ooo`800?oo0`3oool2003oIP030?ooo`0co`00c?l0 0280oooo0P3oV@3]0?ooo`000`3oool0103ogi`0B0000000001d_ol80?ooo`040=nLB00000000000 04RLg`L0oooo00<000000?ooo`3oool0[03oool00`00I_l0oooo0?ooo`0J0?ooo`03003oo`3oool0 oooo0080oooo00D00?mV0?ooo`3oool0d0oooo000J 0?ooo`030000003oool0oooo0:/0oooo00<006Ko0?ooo`3oool06@3oool2003oo`<0oooo0P00ofH0 0`3oool0h0oooo000J0?ooo`030000003oool0oooo 0:X0oooo00<006Ko0?ooo`3oool06@3oool00`00ool0oooo0?ooo`020?ooo`05003oIP3oool0oooo 03?o0030?ooo`006P3oool00`000000oooo0?ooo`1l0?ooo`03001V o`3oool0oooo01H0oooo00D00?oo0?ooo`3oool0oooo003oIP030?ooo`0303?o003oool0oooo03D0 oooo00<0oiT00?ooo`3oool0o`3oool>0?ooo`006P3oool00`000000oooo0?ooo`1k0?ooo`03001V o`3oool0oooo01H0oooo00D00?oo0?ooo`3oool0oooo003oIP030?ooo`0303?o003oool0oooo03D0 oooo00<0oiT00?ooo`3oool0o`3oool?0?ooo`006P3oool00`000000oooo0?ooo`1j0?ooo`03001V o`3oool0oooo01H0oooo00D00?oo0?ooo`3oool0oooo003oIP030?ooo`0303?o003oool0oooo03D0 oooo00<0oiT00?ooo`3oool0o`3oool@0?ooo`006P3oool00`000000oooo0?ooo`1i0?ooo`03001V o`3oool0oooo01H0oooo00D00?oo0?ooo`3oool0oooo003oIP030?ooo`0303?o003oool0oooo03H0 oooo00<0oiT00?ooo`3oool0o`3oool@0?ooo`006P3oool00`000000oooo0?ooo`1h0?ooo`03001V o`3oool0oooo01H0oooo00D00?oo0?ooo`3oool0oooo003oIP030?ooo`0303?o003oool0oooo03H0 oooo00<0oiT00?ooo`3oool0o`3ooolA0?ooo`006P3oool00`000000oooo0?ooo`1g0?ooo`03001V o`3oool0oooo01H0oooo00D00?oo0?ooo`3oool0oooo003oIP030?ooo`0303?o003oool0oooo03H0 oooo00<0oiT00?ooo`3oool0o`3ooolB0?ooo`006P3oool00`000000oooo0?ooo`1f0?ooo`03001V o`3oool0oooo01H0oooo00D00?oo0?ooo`3oool0oooo003oIP030?ooo`0303?o003oool0oooo03L0 oooo00<0oiT00?ooo`3oool0o`3ooolB0?ooo`006P3oool00`000000oooo0?ooo`1e0?ooo`03001V o`3oool0oooo01H0oooo00<00?oo0?ooo`3oool00P3oool01000ofH0oooo0?ooo`0co`0i0?ooo`03 0?nI003oool0oooo0?l0oooo4`3oool001X0oooo00<000000?ooo`3oool0M@3oool00`00I_l0oooo 0?ooo`0E0?ooo`03003oo`3oool0oooo0080oooo00@00?mV0?ooo`3oool0@3oool00`3oV@00 oooo0?ooo`3o0?oooa@0oooo000J0?ooo`030000003oool0oooo07@0oooo00<006Ko0?ooo`3oool0 5@3oool00`00ool0oooo0?ooo`020?ooo`04003oIP3oool0oooo03?o03X0oooo00<0oiT00?ooo`3o ool0o`3ooolD0?ooo`000`3oool0103OW4P0000000000018W=l20?ooo`030?oo_`1d000004RL00@0 oooo00@0gia80000000004P0W=oo1P3oool00`000000oooo0?ooo`1d0?ooo`03001Vo`3oool0oooo 01@0oooo00<00?oo0?ooo`3oool00P3oool01000ofH0oooo0?ooo`0co`0j0?ooo`030?nI003oool0 oooo0?l0oooo5@3oool000<0oooo00D0W7BL0?ooo`3oool0W4Qd0;ooo`090?ooo`030?noM018W=l0 oooo00H0oooo00<000000?ooo`3oool0M03oool00`00I_l0oooo0?ooo`0D0?ooo`05003oo`3oool0 oooo0?ooo`00ofH00P3oool00`0co`00c?l00?ooo`0i0?ooo`030?nI003oool0oooo0?l0oooo5@3o ool00080oooo00H0oono07A8W03oool0oooo0;mdB02Lgol60?ooo`060?oo_`1d0000000000000000 04P0W=oo1P3oool400000780oooo00<006Ko0?ooo`3oool0503oool01@00ool0oooo0?ooo`3oool0 0?mV0080oooo00<0@3oool00`3oV@00oooo0?ooo`3o0?oooaH0oooo00020?oo o`060?oo_`1dB9`0oooo0?ooo`2oM4P0W=oo1`3oool0102oM000M;oo0?noM018W=l70?ooo`030000 003oool0oooo07<0oooo00<006Ko0?ooo`3oool04`3oool01@00ool0oooo0?ooo`3oool00?mV0080 oooo00<0@3oool00`3oV@00oooo0?ooo`3o0?oooaL0oooo00030?ooo`0509a8 B02Lgol0oono07@0M02oool01`3oool0103ookl0M01809bLM018W=l70?ooo`030000003oool0oooo 07<0oooo00<006Ko0?ooo`3oool04P3oool01@00ool0oooo0?ooo`3oool00?mV0080oooo00<0P3oool00`3oV@00oooo0?ooo`3o0?oooaL0oooo00030?ooo`040?oOW01800000000 07Boo`T0oooo00<0omnL04P00018W=l01`3oool00`000000oooo0?ooo`1b0?ooo`03001Vo`3oool0 oooo0180oooo00D00?oo0?ooo`3oool0oooo003oIP020?ooo`0303?o003P3oool000<0oooo00@0omnL04P000000000 M;oo2@3oool0103OW4P000000000001d_ol60?ooo`030000003oool0oooo05l0oooo00<006Ko0?oo o`3oool0103oool00`00ool00?mV03?o00100?ooo`030?nI003oool0oooo0?l0oooo>P3oool001X0 oooo00<000000?ooo`3oool0G`3oool00`00I_l0oooo0?ooo`030?ooo`03003oo`00ofH0`3oool001X0oooo00<000000?ooo`3oool0GP3o ool00`00I_l0oooo0?ooo`030?ooo`03003oo`00ofH00?ooo`006P3oool00`000000oooo0?ooo`1@0?ooo`06001Vo`3o ool0oooo0?ooo`00ool00?mV?P3oool00`3oV@00oooo0?ooo`3o0?ooodl0oooo000J0?ooo`030000 003oool0oooo0500oooo00H006Ko0?ooo`3oool0oooo003oo`0co`0n0?ooo`030?nI003oool0oooo 0?l0ooooC`3oool001X0oooo00<000000?ooo`3oool0C`3oool01P00I_l0oooo0?ooo`3oool00?oo 003oISh0oooo00<0oiT00?ooo`3oool0o`3ooom@0?ooo`006P3oool00`000000oooo0?ooo`1?0?oo o`06001Vo`3oool0oooo0?ooo`00ool00?ooo`06001Vo`3oool0oooo0?ooo`00ool0`3oool00`3oV@00oooo0?ooo`3o0?ooofL0 oooo000J0?ooo`030000003oool0oooo03h0oooo00<006Ko003oIP3oool0>P3oool00`3oV@00oooo 0?ooo`3o0?ooofP0oooo000J0?ooo`030000003oool0oooo03d0oooo00<006Ko003oo`3oool0>`3o ool00`3oV@00oooo0?ooo`3o0?ooofP0oooo000J0?ooo`030000003oool0oooo03d0oooo00<006Ko 003oo`3oool0>P3oool00`3oV@00oooo0?ooo`3o0?ooofT0oooo000J0?ooo`030000003oool0oooo 03d0oooo00<006Ko0?ooo`3oool0>P3oool00`3oV@00oooo0?ooo`3o0?ooofT0oooo000J0?ooo`03 0000003oool0oooo03`0oooo00<006Ko003oo`3oool0>P3oool00`3oV@00oooo0?ooo`3o0?ooofX0 oooo000J0?ooo`030000003oool0oooo03`0oooo00<006Ko003oIP3oool0>P3oool00`3oV@00oooo 0?ooo`3o0?ooofX0oooo000J0?ooo`030000003oool0oooo03`0oooo00<006Ko0?ooo`3oool0>P3o ool00`3oV@00oooo0?ooo`3o0?ooofX0oooo000J0?ooo`030000003oool0oooo03/0oooo00<006Ko 003oo`3oool0>P3oool00`3oV@00oooo0?ooo`3o0?ooof/0oooo000J0?ooo`030000003oool0oooo 03/0oooo00<006Ko0?ooo`3oool0>P3oool00`3oV@00oooo0?ooo`3o0?ooof/0oooo000J0?ooo`03 0000003oool0oooo03/0oooo00<006Ko0?ooo`3oool0>@3oool00`3oV@00oooo0?ooo`3o0?ooof`0 oooo000J0?ooo`030000003oool0oooo03X0oooo00<006Ko003oo`3oool0>P3oool00`3oV@00oooo 0?ooo`3o0?ooof`0oooo000J0?ooo`030000003oool0oooo03X0oooo00<006Ko0?ooo`3oool0>@3o ool00`3oV@00oooo0?ooo`3o0?ooofd0oooo000>0?ooo`060?oo_`1d000000000000000004P0W=oo 1P3oool00`000000oooo0?ooo`0j0?ooo`03001Vo`3oool0oooo03T0oooo00<0oiT00?ooo`3oool0 o`3ooom]0?ooo`00403oool00`3o_g@0B9cO0?ooo`070?ooo`030000003oool0oooo03T0oooo00<0 06Ko0?ooo`3oool0>@3oool00`3oV@00oooo0?ooo`3o0?ooofh0oooo000@0?ooo`030?noM018W=l0 oooo00L0oooo1000000h0?ooo`03001Vo`3oV@00oiT003X0oiT0o`3ooom`0?ooo`00403oool00`3o _g@0B9cO0?ooo`3o0?oooo00oooo000?0?ooo`0309a8M02o_g@0B9cO0?l0ooool@3oool000l0oooo 00<0okmd00000018W=l0o`3ooooa0?ooo`00o`3ooooo0?ooo`@0oooo0000\ \>"], ImageRangeCache->{{{0, 513}, {316.563, 0}} -> {-0.444119, -0.0505281, \ 0.0166444, 0.0033664}}], Cell[BoxData[ TagBox[\(\[SkeletonIndicator] Graphics \[SkeletonIndicator]\), False, Editable->False]], "Output"], Cell[BoxData[{ \(\(PlotExp11r\ = \ ListPlot[ exp11[\([3]\)], \ {PlotRange \[Rule] {{0, \ 8}, \ {0, \ 1}}, PlotJoined \[Rule] True, PlotStyle \[Rule] Hue[0.1]}];\)\), "\[IndentingNewLine]", \(\(PlotExp12r\ = \ ListPlot[ exp12[\([3]\)], \ {PlotRange \[Rule] {{0, \ 8}, \ {0, \ 1}}, PlotJoined \[Rule] True, PlotStyle \[Rule] Hue[0.2]}];\)\), "\[IndentingNewLine]", \(\(PlotExp13r\ = \ ListPlot[ exp13[\([3]\)], \ {PlotRange \[Rule] {{0, \ 8}, \ {0, \ 1}}, PlotJoined \[Rule] True, PlotStyle \[Rule] Hue[0.3]}];\)\), "\[IndentingNewLine]", \(\(PlotExp14r\ = \ ListPlot[ exp14[\([3]\)], \ {PlotRange \[Rule] {{0, \ 8}, \ {0, \ 1}}, PlotJoined \[Rule] True, PlotStyle \[Rule] Hue[0.4]}];\)\), "\[IndentingNewLine]", \(\(PlotExp15r\ = \ ListPlot[ exp15[\([3]\)], \ {PlotRange \[Rule] {{0, \ 8}, \ {0, \ 1}}, PlotJoined \[Rule] True, PlotStyle \[Rule] Hue[0.5]}];\)\), "\[IndentingNewLine]", \(\(PlotExp16r\ = \ ListPlot[ exp16[\([3]\)], \ {PlotRange \[Rule] {{0, \ 8}, \ {0, \ 1}}, PlotJoined \[Rule] True, PlotStyle \[Rule] Hue[0.6]}];\)\), "\[IndentingNewLine]", \(Show[{PlotExp11r, \ PlotExp12r, \ PlotExp13r, \ PlotExp14r, \ PlotExp15r, \ PlotExp16r}]\), "\[IndentingNewLine]", \(\)}], "Input"], Cell["\<\ While Kaczmarz' error is always decreasing, it appears that Kaczmarz' \ residuals may briefly be high. (Redder colors correspond to larger alpha). \ Shown below is residual norms versus iteration.\ \>", "Text"], Cell[GraphicsData["PostScript", "\<\ %! %%Creator: Mathematica %%AspectRatio: .61803 MathPictureStart /Mabs { Mgmatrix idtransform Mtmatrix dtransform } bind def /Mabsadd { Mabs 3 -1 roll add 3 1 roll add exch } bind def %% Graphics %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10 scalefont setfont % Scaling calculations 0 0.125 0 0.618034 [ [.125 -0.0125 -3 -9 ] [.125 -0.0125 3 0 ] [.25 -0.0125 -3 -9 ] [.25 -0.0125 3 0 ] [.375 -0.0125 -3 -9 ] [.375 -0.0125 3 0 ] [.5 -0.0125 -3 -9 ] [.5 -0.0125 3 0 ] [.625 -0.0125 -3 -9 ] [.625 -0.0125 3 0 ] [.75 -0.0125 -3 -9 ] [.75 -0.0125 3 0 ] [.875 -0.0125 -3 -9 ] [.875 -0.0125 3 0 ] [1 -0.0125 -3 -9 ] [1 -0.0125 3 0 ] [-0.0125 .12361 -18 -4.5 ] [-0.0125 .12361 0 4.5 ] [-0.0125 .24721 -18 -4.5 ] [-0.0125 .24721 0 4.5 ] [-0.0125 .37082 -18 -4.5 ] [-0.0125 .37082 0 4.5 ] [-0.0125 .49443 -18 -4.5 ] [-0.0125 .49443 0 4.5 ] [-0.0125 .61803 -6 -4.5 ] [-0.0125 .61803 0 4.5 ] [ 0 0 0 0 ] [ 1 .61803 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath 0 g .25 Mabswid [ ] 0 setdash .125 0 m .125 .00625 L s [(1)] .125 -0.0125 0 1 Mshowa .25 0 m .25 .00625 L s [(2)] .25 -0.0125 0 1 Mshowa .375 0 m .375 .00625 L s [(3)] .375 -0.0125 0 1 Mshowa .5 0 m .5 .00625 L s [(4)] .5 -0.0125 0 1 Mshowa .625 0 m .625 .00625 L s [(5)] .625 -0.0125 0 1 Mshowa .75 0 m .75 .00625 L s [(6)] .75 -0.0125 0 1 Mshowa .875 0 m .875 .00625 L s [(7)] .875 -0.0125 0 1 Mshowa 1 0 m 1 .00625 L s [(8)] 1 -0.0125 0 1 Mshowa .125 Mabswid .025 0 m .025 .00375 L s .05 0 m .05 .00375 L s .075 0 m .075 .00375 L s .1 0 m .1 .00375 L s .15 0 m .15 .00375 L s .175 0 m .175 .00375 L s .2 0 m .2 .00375 L s .225 0 m .225 .00375 L s .275 0 m .275 .00375 L s .3 0 m .3 .00375 L s .325 0 m .325 .00375 L s .35 0 m .35 .00375 L s .4 0 m .4 .00375 L s .425 0 m .425 .00375 L s .45 0 m .45 .00375 L s .475 0 m .475 .00375 L s .525 0 m .525 .00375 L s .55 0 m .55 .00375 L s .575 0 m .575 .00375 L s .6 0 m .6 .00375 L s .65 0 m .65 .00375 L s .675 0 m .675 .00375 L s .7 0 m .7 .00375 L s .725 0 m .725 .00375 L s .775 0 m .775 .00375 L s .8 0 m .8 .00375 L s .825 0 m .825 .00375 L s .85 0 m .85 .00375 L s .9 0 m .9 .00375 L s .925 0 m .925 .00375 L s .95 0 m .95 .00375 L s .975 0 m .975 .00375 L s .25 Mabswid 0 0 m 1 0 L s 0 .12361 m .00625 .12361 L s [(0.2)] -0.0125 .12361 1 0 Mshowa 0 .24721 m .00625 .24721 L s [(0.4)] -0.0125 .24721 1 0 Mshowa 0 .37082 m .00625 .37082 L s [(0.6)] -0.0125 .37082 1 0 Mshowa 0 .49443 m .00625 .49443 L s [(0.8)] -0.0125 .49443 1 0 Mshowa 0 .61803 m .00625 .61803 L s [(1)] -0.0125 .61803 1 0 Mshowa .125 Mabswid 0 .0309 m .00375 .0309 L s 0 .0618 m .00375 .0618 L s 0 .09271 m .00375 .09271 L s 0 .15451 m .00375 .15451 L s 0 .18541 m .00375 .18541 L s 0 .21631 m .00375 .21631 L s 0 .27812 m .00375 .27812 L s 0 .30902 m .00375 .30902 L s 0 .33992 m .00375 .33992 L s 0 .40172 m .00375 .40172 L s 0 .43262 m .00375 .43262 L s 0 .46353 m .00375 .46353 L s 0 .52533 m .00375 .52533 L s 0 .55623 m .00375 .55623 L s 0 .58713 m .00375 .58713 L s .25 Mabswid 0 0 m 0 .61803 L s 0 0 m 1 0 L 1 .61803 L 0 .61803 L closepath clip newpath 1 .6 0 r .5 Mabswid .125 .61803 m .25 .4089 L .375 .24269 L .5 .1368 L .625 .07466 L .75 .03901 L .875 .01934 L 1 .00897 L s 1 .00897 m 1 .00897 L s .8 1 0 r .125 0 m .25 .24721 L .375 .19228 L .5 .12925 L .625 .07912 L .75 .04647 L .875 .03404 L 1 .02313 L s 1 .02313 m 1 .02313 L s .2 1 0 r .125 .00618 m .25 .24673 L .375 .1915 L .5 .12893 L .625 .07892 L .75 .04705 L .875 .0344 L 1 .02335 L s 1 .02335 m 1 .02335 L s 0 1 .4 r .125 .0309 m .25 .24465 L .375 .18838 L .5 .12757 L .625 .07806 L .75 .04934 L .875 .0358 L 1 .02422 L s 1 .02422 m 1 .02422 L s 0 1 1 r .125 .0618 m .25 .2417 L .375 .1844 L .5 .12573 L .625 .0768 L .75 .05211 L .875 .03743 L 1 .02527 L s 1 .02527 m 1 .02527 L s 0 .4 1 r .125 .30902 m .25 .20116 L .375 .151 L .5 .10889 L .625 .08971 L .75 .06596 L .875 .04447 L 1 .0359 L s 1 .0359 m 1 .0359 L s % End of Graphics MathPictureEnd \ \>"], "Graphics", ImageSize->{715, 441.75}, ImageMargins->{{43, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, ImageCache->GraphicsData["Bitmap", "\<\ CF5dJ6E]HGAYHf4PAg9QL6QYHg0?oo o`060?oo_`1d0000B9cO0?ooo`3OW4P0M;ooD@3oool00`2oM7@0_ooo0?ooo`1@0?ooo`0409adW03o ool0oono07Ad_`H0oooo001a0?ooo`030?noM018W=l0oooo05<0oooo00<0oono0;noo`3oool0DP3o ool00`3ookl0M4RL0?ooo`1?0?ooo`040;md001d_ol0okmd04RLge40oooo00@0_g@0000000000000 07BoD@3oool0102LB7@0B4P000000000B9aB0?ooo`030?noM018W=l0oooo0500oooo00@0_g@00000 00000000B9cO1P3oool00700oooo00<0W4Qd0;noM018W=l0D@3oool01P3ogi`0B4RL0?ooo`3ookl0 M01d0;ooodl0oooo00H0oono07@0B02Lgol0oono07@0M02ooom?0?ooo`040?oo_`1d04P0W9ad04RL ge40oooo00<0_gA809cOo`3oool0DP3oool00`3o_g@004RL0?ooo`1@0?ooo`050?oOW018M;l0oooo 0?oo_`1dB9`0D03oool01@3ookl0M4RL0?ooo`3ookl0M4RL00H0oooo001`0?ooo`030?noM0000000 B9cO0580oooo00@0gia8000000000000B9cOD@3oool0103ogi`0B0000000001d_omA0?ooo`030?oO W0180000B9cO0540oooo00@0_g@000000000000007BoDP3oool0103OW4P000000000001d_om>0?oo o`060?oOW018000000000000000007@0_oooD03oool0103OW4P000000000001d_ol60?ooo`00o`3o oooo0?ooold0oooo003o0?ooool0ooooc@3oool00?l0ooooo`3oooo=0?ooo`00o`3ooooo0?ooold0 oooo003o0?ooool0ooooc@3oool00?l0ooooo`3oooo=0?ooo`00o`3ooooo0?ooold0oooo003o0?oo ool0ooooc@3oool00?l0ooooo`3oooo=0?ooo`00o`3ooooo0?ooold0oooo000M0?oooeD0000000<0 c?l0000000000000o`00003o0000054000001`3oool001d0oooo00<000000?ooo`3oool03P3oool0 0`000000oooo0?ooo`0>0?ooo`030000003oool0oooo00h0oooo00<000000?ooo`3oool03P3oool0 0`000000oooo0?ooo`0>0?ooo`0300000030?ooo`030000003oool0oooo00h0oooo00<000000?ooo`3oool03P3oool0 0`000000oooo0?ooo`0>0?ooo`030000003oool0oooo00h0oooo00<000000?ooo`3oool03P3oool0 0`000000oooo0?ooo`0>0?ooo`030000003oool0oooo00h0oooo00<000000?ooo`3oool03@3oool0 0`000000oooo0?ooo`0>0?ooo`030000003oool0oooo00h0oooo00<000000?ooo`3oool03P3oool0 0`000000oooo0?ooo`0>0?ooo`030000003oool0oooo00h0oooo00<000000?ooo`3oool03P3oool0 0`000000oooo0?ooo`0>0?ooo`030000003oool0oooo00h0oooo00<000000?ooo`3oool03P3oool0 0`000000oooo0?ooo`0>0?ooo`030000003oool0oooo00h0oooo00<000000?ooo`3oool03P3oool0 0`000000oooo0?ooo`0>0?ooo`030000003oool0oooo00h0oooo00<000000?ooo`3oool03P3oool0 0`000000oooo0?ooo`0>0?ooo`030000003oool0oooo00d0oooo00<000000?ooo`3oool03P3oool0 0`000000oooo0?ooo`0>0?ooo`030000003oool0oooo00h0oooo00<000000?ooo`3oool03P3oool0 0`000000oooo0?ooo`0>0?ooo`030000003oool0oooo00h0oooo00<000000?ooo`3oool03P3oool0 0`000000oooo0?ooo`050?ooo`007@3oool00`000000oooo0?ooo`0>0?ooo`030000003oool0oooo 00h0oooo00<000000?ooo`3oool03P3oool00`000000oooo0?ooo`0>0?ooo`030000003oool0oooo 00h0oooo00<0000000?ooo`030000003oool0oooo 00h0oooo00<000000?ooo`3oool03P3oool00`000000oooo0?ooo`0>0?ooo`030000003oool0oooo 00h0oooo00<000000?ooo`3oool03P3oool00`000000oooo0?ooo`0>0?ooo`030000003oool0oooo 00h0oooo00<000000?ooo`3oool03P3oool00`000000oooo0?ooo`0=0?ooo`030000003oool0oooo 00h0oooo00<000000?ooo`3oool03P3oool00`000000oooo0?ooo`0>0?ooo`030000003oool0oooo 00h0oooo00<000000?ooo`3oool03P3oool00`000000oooo0?ooo`0>0?ooo`030000003oool0oooo 00h0oooo00<000000?ooo`3oool03P3oool00`000000oooo0?ooo`0>0?ooo`030000003oool0oooo 00h0oooo00<000000?ooo`3oool03P3oool00`000000oooo0?ooo`0>0?ooo`030000003oool0oooo 00h0oooo00<000000?ooo`3oool03P3oool00`000000oooo0?ooo`0>0?ooo`030000003oool0oooo 00h0oooo00<000000?ooo`3oool03@3oool00`000000oooo0?ooo`0>0?ooo`030000003oool0oooo 00h0oooo00<000000?ooo`3oool03P3oool00`000000oooo0?ooo`0>0?ooo`030000003oool0oooo 00h0oooo00<000000?ooo`3oool03P3oool00`000000oooo0?ooo`0>0?ooo`030000003oool0oooo 00D0oooo000M0?ooo`030000003oool0oooo00h0oooo00<000000?ooo`3oool03P3oool00`000000 oooo0?ooo`0>0?ooo`030000003oool0oooo00h0oooo00<000000?ooo`3oool03P3oool00`000000 oooo00?ooo`030000003oool0oooo00h0oooo00<000000?ooo`3oool03P3oool00`000000 oooo0?ooo`0>0?ooo`030000003oool0oooo00h0oooo00<000000?ooo`3oool03P3oool00`000000 oooo0?ooo`0>0?ooo`030000003oool0oooo00h0oooo00<000000?ooo`3oool03P3oool00`000000 oooo0?ooo`0>0?ooo`030000003oool0oooo00d0oooo00<000000?ooo`3oool03P3oool00`000000 oooo0?ooo`0>0?ooo`030000003oool0oooo00h0oooo00<000000?ooo`3oool03P3oool00`000000 oooo0?ooo`0>0?ooo`030000003oool0oooo00h0oooo00<000000?ooo`3oool03P3oool00`000000 oooo0?ooo`0>0?ooo`030000003oool0oooo00h0oooo00<000000?ooo`3oool03P3oool00`000000 oooo0?ooo`0>0?ooo`030000003oool0oooo00h0oooo00<000000?ooo`3oool03P3oool00`000000 oooo0?ooo`0>0?ooo`030000003oool0oooo00h0oooo00<000000?ooo`3oool03P3oool00`000000 oooo0?ooo`0=0?ooo`030000003oool0oooo00h0oooo00<000000?ooo`3oool03P3oool00`000000 oooo0?ooo`0>0?ooo`030000003oool0oooo00h0oooo00<000000?ooo`3oool03P3oool00`000000 oooo0?ooo`0>0?ooo`030000003oool0oooo00h0oooo00<000000?ooo`3oool01@3oool001d0oooo 00<000000?ooo`3oool0DP3oool00`0co`00oooo00?ooo`L080oooo1`00I_l@0?ooo`800?oo0P3oool2003oIP<0@3oool2001Voc@0oooo 0P00ool40?ooo`800?mV0P3oool203?o00030 0?ooo`06003oo`3oool0oooo003oIP3oool003oool2003oo`@0oooo0P00ofH20?ooo`80 03oool2003oo`@0oooo0P00ofH20?ooo`80 03oool00`3oV@00oooo0?ooo`3o 0?oooiP0oooo000M0?ooo`030000003oool0oooo09X0oooo00@006Ko0?ooo`00ool00?ooo`030?nI003oool0oooo0?l0oooo[P3oool000@0oooo00D0W7BL0?oo o`3oool0W4Qd0;ooo`090?ooo`030?noM018W=l0oooo00P0oooo00<000000?ooo`3oool0Q03oool0 0`00I_l0oooo0?ooo`0O0?ooo`0300?ooo`007@3oool00`000000oooo0?ooo`1C0?ooo`03 001Vo`3oool0oooo08D0oooo00<0oiT00?ooo`3oool0o`3oooo>0?ooo`007@3oool400000540oooo 00<006Ko0?ooo`3oool0Q@3oool00`3oV@00oooo0?ooo`3o0?oooll0oooo000M0?ooo`030000003o ool0oooo0=T0oooo00<0oiT00?ooo`3oool0o`3oooo@0?ooo`007@3oool00`000000oooo0?ooo`3H 0?ooo`030?nI003oool0oooo0?l0ooood@3oool001d0oooo00<000000?ooo`3oool0f03oool00`3o V@00oooo0?ooo`3o0?ooom40oooo000M0?ooo`030000003oool0oooo0=L0oooo00<0oiT00?ooo`3o ool0o`3ooooB0?ooo`007@3oool00`000000oooo0?ooo`3F0?ooo`030?nI003oool0oooo0?l0oooo d`3oool001d0oooo00<000000?ooo`3oool0e@3oool00`3oV@00oooo0?ooo`3o0?ooom@0oooo000M 0?ooo`030000003oool0oooo0=D0oooo00<0oiT00?ooo`3oool0o`3ooooD0?ooo`007@3oool00`00 0000oooo0?ooo`3D0?ooo`030?nI003oool0oooo0?l0ooooe@3oool001d0oooo00<000000?ooo`3o ool0d`3oool00`3oV@00oooo0?ooo`3o0?ooomH0oooo000M0?ooo`030000003oool0oooo0=80oooo 00<0oiT00?ooo`3oool0o`3ooooG0?ooo`007@3oool00`000000oooo0?ooo`3A0?ooo`030?nI003o ool0oooo0?l0oooof03oool001d0oooo00<000000?ooo`3oool0d@3oool00`3oV@00oooo0?ooo`3o 0?ooomP0oooo000M0?ooo`030000003oool0oooo0=00oooo00<0oiT00?ooo`3oool0o`3ooooI0?oo o`007@3oool00`000000oooo0?ooo`3?0?ooo`030?nI003oool0oooo0?l0oooofP3oool001d0oooo 00<000000?ooo`3oool0cP3oool00`3oV@00oooo0?ooo`3o0?ooom/0oooo000M0?ooo`030000003o ool0oooo003oool001d0oooo00<000000?oo o`3oool0LP3oool00`3oV@00oooo0?ooo`3o0?ooool0oooo>03oool001d0oooo00<000000?ooo`3o ool0L@3oool00`3oV@00oooo0?ooo`3o0?ooool0oooo>@3oool001d0oooo00<000000?ooo`3oool0 L@3oool00`3oV@00oooo0?ooo`3o0?ooool0oooo>@3oool001d0oooo00<000000?ooo`3oool0L03o ool00`3oV@00oooo0?ooo`3o0?ooool0oooo>P3oool001d0oooo00<000000?ooo`3oool0K`3oool0 0`3oV@00oooo0?ooo`3o0?ooool0oooo>`3oool001d0oooo00<000000?ooo`3oool0K`3oool00`3o V@00oooo0?ooo`3o0?ooool0oooo>`3oool001d0oooo00<000000?ooo`3oool0KP3oool00`3oV@00 oooo0?ooo`3o0?ooool0oooo?03oool001d0oooo00<000000?ooo`3oool0KP3oool00`3oV@00oooo 0?ooo`3o0?ooool0oooo?03oool001d0oooo00<000000?ooo`3oool0K@3oool00`3oV@00oooo0?oo o`3o0?ooool0oooo?@3oool001d0oooo00<000000?ooo`3oool0K03oool00`3oV@00oooo0?ooo`3o 0?ooool0oooo?P3oool001d0oooo00<000000?ooo`3oool0K03oool00`3oV@00oooo0?ooo`3o0?oo ool0oooo?P3oool001d0oooo1000001Z0?ooo`030?nI003oool0oooo0?l0ooooo`3ooolo0?ooo`00 7@3oool00`000000oooo0?ooo`1[0?ooo`030?nI003oool0oooo0?l0ooooo`3ooolo0?ooo`007@3o ool00`000000oooo0?ooo`1Z0?ooo`030?nI003oool0oooo0?l0ooooo`3ooom00?ooo`007@3oool0 0`000000oooo0?ooo`1Y0?ooo`030?nI003oool0oooo0?l0ooooo`3ooom10?ooo`007@3oool00`00 0000oooo0?ooo`1Y0?ooo`030?nI003oool0oooo0?l0ooooo`3ooom10?ooo`007@3oool00`000000 oooo0?ooo`1X0?ooo`030?nI003oool0oooo0?l0ooooo`3ooom20?ooo`007@3oool00`000000oooo 0?ooo`1X0?ooo`030?nI003oool0oooo0?l0ooooo`3ooom20?ooo`007@3oool00`000000oooo0?oo o`1W0?ooo`030?nI003oool0oooo0?l0ooooo`3ooom30?ooo`007@3oool00`000000oooo0?ooo`1V 0?ooo`030?nI003oool0oooo0?l0ooooo`3ooom40?ooo`007@3oool00`000000oooo0?ooo`1V0?oo o`030?nI003oool0oooo0?l0ooooo`3ooom40?ooo`007@3oool00`000000oooo0?ooo`1U0?ooo`03 0?nI003oool0oooo0?l0ooooo`3ooom50?ooo`007@3oool00`000000oooo0?ooo`1U0?ooo`030?nI 003oool0oooo0?l0ooooo`3ooom50?ooo`007@3oool00`000000oooo0?ooo`1T0?ooo`030?nI003o ool0oooo0?l0ooooo`3ooom60?ooo`007@3oool00`000000oooo0?ooo`1S0?ooo`030?nI003oool0 oooo0?l0ooooo`3ooom70?ooo`007@3oool00`000000oooo0?ooo`1S0?ooo`030?nI003oool0oooo 0?l0ooooo`3ooom70?ooo`007@3oool00`000000oooo0?ooo`1R0?ooo`030?nI003oool0oooo0?l0 ooooo`3ooom80?ooo`007@3oool00`000000oooo0?ooo`1R0?ooo`030?nI003oool0oooo0?l0oooo o`3ooom80?ooo`007@3oool00`000000oooo0?ooo`1Q0?ooo`030?nI003oool0oooo0?l0ooooo`3o oom90?ooo`007@3oool00`000000oooo0?ooo`1P0?ooo`030?nI003oool0oooo0?l0ooooo`3ooom: 0?ooo`007@3oool00`000000oooo0?ooo`1P0?ooo`030?nI003oool0oooo0?l0ooooo`3ooom:0?oo o`007@3oool00`000000oooo0?ooo`1O0?ooo`030?nI003oool0oooo0?l0ooooo`3ooom;0?ooo`00 7@3oool4000005h0oooo00<0oiT00?ooo`3oool0o`3ooooo0?oood/0oooo000M0?ooo`030000003o ool0oooo05h0oooo00<0oiT00?ooo`3oool0o`3ooooo0?oood`0oooo000M0?ooo`030000003oool0 oooo05d0oooo00<0oiT00?ooo`3oool0o`3ooooo0?ooodd0oooo000M0?ooo`030000003oool0oooo 05d0oooo00<0oiT00?ooo`3oool0o`3ooooo0?ooodd0oooo000M0?ooo`030000003oool0oooo05`0 oooo00<0oiT00?ooo`3oool0o`3ooooo0?ooodh0oooo000M0?ooo`030000003oool0oooo05`0oooo 00<0oiT00?ooo`3oool0o`3ooooo0?ooodh0oooo000M0?ooo`030000003oool0oooo05/0oooo00<0 oiT00?ooo`3oool0o`3ooooo0?ooodl0oooo000M0?ooo`030000003oool0oooo05X0oooo00<0oiT0 0?ooo`3oool0o`3ooooo0?oooe00oooo000M0?ooo`030000003oool0oooo05X0oooo00<0oiT00?oo o`3oool0o`3ooooo0?oooe00oooo000M0?ooo`030000003oool0oooo05T0oooo00<0oiT00?ooo`3o ool0o`3ooooo0?oooe40oooo000M0?ooo`030000003oool0oooo05T0oooo00<0oiT00?ooo`3oool0 o`3ooooo0?oooe40oooo000M0?ooo`030000003oool0oooo05P0oooo00<0oiT00?ooo`3oool0o`3o oooo0?oooe80oooo000M0?ooo`030000003oool0oooo05L0oooo00<0oiT00?ooo`3oool0o`3ooooo 0?oooe<0oooo000M0?ooo`030000003oool0oooo05L0oooo00<0oiT00?ooo`3oool0o`3ooooo0?oo oe<0oooo000M0?ooo`030000003oool0oooo05H0oooo00<0oiT00?ooo`3oool0o`3ooooo0?oooe@0 oooo000M0?ooo`030000003oool0oooo05H0oooo00<0oiT00?ooo`3oool0o`3ooooo0?oooe@0oooo 000M0?ooo`030000003oool0oooo05D0oooo00<0oiT00?ooo`3oool0o`3ooooo0?oooeD0oooo000M 0?ooo`030000003oool0oooo05@0oooo00<0oiT00?ooo`3oool0o`3ooooo0?oooeH0oooo000M0?oo o`030000003oool0oooo05@0oooo00<0oiT00?ooo`3oool0o`3ooooo0?oooeH0oooo000?0?ooo`06 0?oo_`1d000000000000000004P0W=oo203oool00`000000oooo0?ooo`1C0?ooo`030?nI003oool0 oooo0?l0ooooo`3ooomG0?ooo`004@3oool00`3o_g@0B9cO0?ooo`090?ooo`030000003oool0oooo 05<0oooo00<0oiT00?ooo`3oool0o`3ooooo0?oooeL0oooo000A0?ooo`030?noM018W=l0oooo00T0 oooo1P00001?0?ooo`030?nI003oool0oooo0?l0ooooo`3ooomH0?ooo`004@3oool00`3o_g@0B9cO 0?ooo`3o0?ooool0oooo^@3oool00100oooo00<0W4Qd0;noM018W=l0o`3ooooo0?oookX0oooo000@ 0?ooo`030?noM0000000B9cO0?l0ooooo`3ooonj0?ooo`00o`3ooooo0?ooold0oooo0000\ \>"], ImageRangeCache->{{{0, 714}, {440.75, 0}} -> {-0.353438, -0.0417216, \ 0.0118064, 0.0023879}}], Cell[BoxData[ TagBox[\(\[SkeletonIndicator] Graphics \[SkeletonIndicator]\), False, Editable->False]], "Output"], Cell[BoxData[ \(\[IndentingNewLine]\)], "Input"] }, Open ]], Cell[CellGroupData[{ Cell["\<\ Experiment 2: Jacobi, k = 0, n = 64, vary \[Alpha]\ \>", "Subsection"], Cell["\<\ Take the Jacobi algorithm, use k = 0 for the initial estimate, n = 64. Use \ 50 steps, and try \[Alpha]=3, 2, 1.99, 1.95, 1.9, 1.5.\ \>", "Text"], Cell[CellGroupData[{ Cell[BoxData[{ \(\(exp21\ = \ N[RunAlgorithm[JacobiStep, 50, \ InitialX[0, \ 64], \ Table[0, \ {i, \ 1, 64}], \ 64, \ 3]];\)\), "\[IndentingNewLine]", \(\(exp22\ = \ N[RunAlgorithm[JacobiStep, 50, \ InitialX[0, \ 64], \ Table[0, \ {i, \ 1, 64}], \ 64, \ 2]];\)\), "\[IndentingNewLine]", \(\(exp23\ = \ N[RunAlgorithm[JacobiStep, 50, \ InitialX[0, \ 64], \ Table[0, \ {i, \ 1, 64}], \ 64, \ 1.99]];\)\), "\[IndentingNewLine]", \(\(exp24\ = \ N[RunAlgorithm[JacobiStep, 50, \ InitialX[0, \ 64], \ Table[0, \ {i, \ 1, 64}], \ 64, \ 1.95]];\)\), "\[IndentingNewLine]", \(\(exp25\ = \ N[RunAlgorithm[JacobiStep, 50, \ InitialX[0, \ 64], \ Table[0, \ {i, \ 1, 64}], \ 64, \ 1.9]];\)\), "\[IndentingNewLine]", \(\(exp26\ = \ N[RunAlgorithm[JacobiStep, 50, \ InitialX[0, \ 64], \ Table[0, \ {i, \ 1, 64}], \ 64, \ 1.5]];\)\)}], "Input"], Cell[BoxData[ RowBox[{\(General::"spell1"\), \(\(:\)\(\ \)\), "\<\"Possible spelling \ error: new symbol name \\\"\\!\\(exp21\\)\\\" is similar to existing symbol \ \\\"\\!\\(exp12\\)\\\". \\!\\(\\*ButtonBox[\\\"More\[Ellipsis]\\\", \ ButtonStyle->\\\"RefGuideLinkText\\\", ButtonFrame->None, \ ButtonData:>\\\"General::spell1\\\"]\\)\"\>"}]], "Message"] }, Open ]], Cell["\<\ The Jacobi method converges for \[Alpha] = 3, does not improve for \[Alpha] = \ 2, and diverges for smaller \[Alpha]. (Raw data below).\ \>", "Text"], Cell[CellGroupData[{ Cell[BoxData[ \(\(\(\[IndentingNewLine]\)\(exp21\[IndentingNewLine] exp22\[IndentingNewLine] exp23\[IndentingNewLine] exp24\[IndentingNewLine] exp25\[IndentingNewLine] exp26\)\)\)], "Input"], Cell[BoxData[ \({{5.913540845295421`*^-8, 4.439557742927325`*^-8, 2.96557464055924`*^-8, 2.2370486835208934`*^-8, 1.508522726482552`*^-8, 1.1517847205373357`*^-8, 7.950467145921216`*^-9, 6.2285893909097836`*^-9, 4.5067116358983574`*^-9, 3.692664828865822`*^-9, 2.878618021833288`*^-9, 2.504419067648246`*^-9, 2.130220113463204`*^-9, 1.9642977004553448`*^-9, 1.798375287447487`*^-9, 1.7279879627438263`*^-9, 1.6576006380402372`*^-9, 1.6292654566704429`*^-9, 1.6009302753024276`*^-9, 1.5901919251103278`*^-9, 1.5794535749473808`*^-9, 1.575652052677287`*^-9, 1.5718505307589955`*^-9, 1.570602958656202`*^-9, 1.5693553898875533`*^-9, 1.5689787598295234`*^-9, 1.568602155623484`*^-9, 1.5684984204649784`*^-9, 1.5683948540099465`*^-9, 1.5683691859678816`*^-9, 1.5683444640463384`*^-9, 1.5683398296955767`*^-9, 1.5683398296955767`*^-9, 1.5683444640463384`*^-9, 1.5683691859678816`*^-9, 1.5683948540099465`*^-9, 1.5684984204649784`*^-9, 1.568602155623484`*^-9, 1.5689787598295234`*^-9, 1.5693553898875533`*^-9, 1.570602958656202`*^-9, 1.5718505307589955`*^-9, 1.575652052677287`*^-9, 1.5794535749473808`*^-9, 1.5901919251103278`*^-9, 1.6009302753024276`*^-9, 1.6292654566704429`*^-9, 1.6576006380402372`*^-9, 1.7279879627438263`*^-9, 1.798375287447487`*^-9, 1.9642977004553448`*^-9, 2.130220113463204`*^-9, 2.504419067648246`*^-9, 2.878618021833288`*^-9, 3.692664828865822`*^-9, 4.5067116358983574`*^-9, 6.2285893909097836`*^-9, 7.950467145921216`*^-9, 1.1517847205373357`*^-8, 1.508522726482552`*^-8, 2.2370486835208934`*^-8, 2.96557464055924`*^-8, 4.439557742927325`*^-8, 5.913540845295421`*^-8}, {1.`, 1.`, 0.6666666666666666`, 0.5555555555555555`, 0.37037037037037035`, 0.2962962962962962`, 0.19753086419753085`, 0.15500685871056236`, 0.10333790580704161`, 0.08017070568510894`, 0.053447137123405986`, 0.041152263374485576`, 0.02743484224965706`, 0.021010798940992493`, 0.014007199293995002`, 0.01068478595617073`, 0.007123190637447156`, 0.005417137347116399`, 0.0036114248980776012`, 0.0027399428531514726`, 0.0018266285687676498`, 0.0013832183024040075`, 0.0009221455349360055`, 0.0006972290379170279`, 0.0004648193586113522`, 0.00035100817441120936`, 0.00023400544960747307`, 0.00017652701688624376`, 0.00011768467792416259`, 0.00008870190687768147`, 0.00005913460458512103`, 0.00004453930239591079`, 0.00002969286826394055`, 0.000022350745887805`, 0.000014900497258536679`, 0.000011210354966974877`, 7.473569977983258`*^-6, 5.62029317246933`*^-6, 3.746862114979557`*^-6, 2.816687878542618`*^-6, 1.877791919028414`*^-6, 1.4111784992714221`*^-6, 9.40785666180949`*^-7, 7.068190587362892`*^-7, 4.712127058241933`*^-7, 3.539436888764765`*^-7, 2.359624592509846`*^-7, 1.7720408770273038`*^-7, 1.1813605846848706`*^-7, 8.87031126794312`*^-8}, {1.`, 0.6666666666666669`, 0.5555555555555555`, 0.33333333333333315`, 0.29629629629629606`, 0.1687242798353908`, 0.1550068587105623`, 0.08550525834476444`, 0.08017070568510888`, 0.04328608443834775`, 0.04115226337448555`, 0.021880133448491896`, 0.021010798940992476`, 0.011043558927519688`, 0.010684785956170725`, 0.005566626085178465`, 0.005417137347116392`, 0.0028026912123380173`, 0.002739942853151469`, 0.0014097120540605482`, 0.0013832183024040058`, 0.0007084688113470755`, 0.0006972290379170271`, 0.00035579548531659985`, 0.00035100817441120893`, 0.00017857287624752175`, 0.00017652701688624343`, 0.00008957870374680056`, 0.00008870190687768135`, 0.000044916000310050815`, 0.00004453930239591072`, 0.000022512935267504187`, 0.000022350745887804962`, 0.000011280319013119618`, 0.000011210354966974857`, 5.650524550433106`*^-6, 5.62029317246932`*^-6, 2.82977046315852`*^-6, 2.8166878785426135`*^-6, 1.4168476192716464`*^-6, 1.41117849927142`*^-6, 7.092786769374446`*^-7, 7.068190587362875`*^-7, 3.550120078931396`*^-7, 3.539436888764757`*^-7, 1.7766857423171435`*^-7, 1.7720408770272998`*^-7, 8.890525033556306`*^-8, 8.870311267943097`*^-8, 4.448361960838844`*^-8, 0.`}}\)], "Output"], Cell[BoxData[ \({{1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`}, {1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`}, {0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`}}\)], "Output"], Cell[BoxData[ \({{1.2493818068911493`, 1.2549632573916518`, 1.2605447078921546`, 1.2647814624012907`, 1.269018216910427`, 1.2720523675603221`, 1.2750865182102176`, 1.2771283102298796`, 1.2791701022495423`, 1.2804564444460156`, 1.2817427866424895`, 1.2824988704049805`, 1.2832549541674718`, 1.2836681901141995`, 1.284081426060928`, 1.2842907356242457`, 1.2845000451875634`, 1.2845979596340493`, 1.2846958740805214`, 1.284738022884384`, 1.2847801716880232`, 1.284796801241763`, 1.2848134307928774`, 1.2848194179045365`, 1.2848254049920467`, 1.2848273621282587`, 1.2848293190834037`, 1.2848298964511993`, 1.284830472681236`, 1.284830624174088`, 1.2848307695537593`, 1.2848307980701525`, 1.2848307980701525`, 1.2848307695537593`, 1.284830624174088`, 1.284830472681236`, 1.2848298964511993`, 1.2848293190834037`, 1.2848273621282587`, 1.2848254049920467`, 1.2848194179045365`, 1.2848134307928774`, 1.284796801241763`, 1.2847801716880232`, 1.284738022884384`, 1.2846958740805214`, 1.2845979596340493`, 1.2845000451875634`, 1.2842907356242457`, 1.284081426060928`, 1.2836681901141995`, 1.2832549541674718`, 1.2824988704049805`, 1.2817427866424895`, 1.2804564444460156`, 1.2791701022495423`, 1.2771283102298796`, 1.2750865182102176`, 1.2720523675603221`, 1.269018216910427`, 1.2647814624012907`, 1.2605447078921546`, 1.2549632573916518`, 1.2493818068911493`}, {1.`, 1.0050251256281406`, 1.0100755031438597`, 1.015151259441065`, 1.0202525220513214`, 1.0253794191470567`, 1.0305320795447805`, 1.035710632708322`, 1.0409152087520823`, 1.0461459384443037`, 1.0514029532103555`, 1.0566863851360355`, 1.0619963669708898`, 1.0673330321315475`, 1.0726965147050729`, 1.0780869494523344`, 1.0835044718113913`, 1.0889492179008957`, 1.0944213245235133`, 1.09992092916936`, 1.1054481700194572`, 1.111003185949203`, 1.1165861165318622`, 1.1221971020420725`, 1.1278362834593691`, 1.1335038024717277`, 1.1391998014791231`, 1.1449244235971086`, 1.1506778126604105`, 1.156460113226543`, 1.1622714705794401`, 1.1681120307331057`, 1.1739819404325484`, 1.1798813471670166`, 1.18581039914006`, 1.191769245355105`, 1.1977580354291248`, 1.2037769199741242`, 1.2098260498835773`, 1.2159055775860228`, 1.2220156549522998`, 1.2281564366281728`, 1.2343280749131875`, 1.2405307273580044`, 1.2467645457957481`, 1.2530296917575217`, 1.2593263152702385`, 1.2656545834076134`, 1.2720146425143977`, 1.2784066673445313`}, {0.010000000000000009`, 0.01005025125628145`, 0.010100755031438702`, 0.010151512594410494`, 0.010202525220513348`, 0.010253794191470433`, 0.01030532079544777`, 0.010357106327083088`, 0.010409152087520912`, 0.010461459384443206`, 0.010514029532103564`, 0.01056686385136052`, 0.010619963669709076`, 0.010673330321315344`, 0.010726965147050738`, 0.010780869494523504`, 0.010835044718113807`, 0.010889492179008808`, 0.01094421324523509`, 0.010999209291693735`, 0.011054481700194518`, 0.011110031859491887`, 0.011165861165318702`, 0.011221971020420884`, 0.011278362834593825`, 0.01133503802471747`, 0.011391998014791405`, 0.011449244235971268`, 0.011506778126604278`, 0.01156460113226565`, 0.011622714705794568`, 0.011681120307277304`, 0.0117398194033973`, 0.01179881346984435`, 0.011858103986371882`, 0.011917692439352923`, 0.011977580333390803`, 0.012037769134643383`, 0.012098260428044405`, 0.012159055573794264`, 0.012220156346496314`, 0.012281563919478433`, 0.012343280240712629`, 0.012405306361682689`, 0.012467644318489235`, 0.012530295175615214`, 0.012593260822174601`, 0.012656542688822991`, 0.012720142008108004`, 0.01278406126584719`, 0.`}}\)], "Output"], Cell[BoxData[ \({{3.0888368756030644`, 3.159644274738932`, 3.230451673874802`, 3.284836197841704`, 3.3392207218086076`, 3.3785568510207282`, 3.4178929802328506`, 3.444587040006741`, 3.471281099780632`, 3.4882189850819185`, 3.5051568703832072`, 3.5151734358410165`, 3.5251900012988284`, 3.5306932463536587`, 3.5361964914084907`, 3.538996579280066`, 3.541796667151633`, 3.543111690800078`, 3.54442671444833`, 3.544994731233055`, 3.545562748014704`, 3.545787531897984`, 3.5460123157451586`, 3.546093460107111`, 3.5461746041373585`, 3.5462011923573193`, 3.5462277780932863`, 3.546235638350169`, 3.5462434830195027`, 3.5462455492664917`, 3.5462475318852307`, 3.5462479213501323`, 3.5462479213501323`, 3.5462475318852307`, 3.5462455492664917`, 3.5462434830195027`, 3.546235638350169`, 3.5462277780932863`, 3.5462011923573193`, 3.5461746041373585`, 3.546093460107111`, 3.5460123157451586`, 3.545787531897984`, 3.545562748014704`, 3.544994731233055`, 3.54442671444833`, 3.543111690800078`, 3.541796667151633`, 3.538996579280066`, 3.5361964914084907`, 3.5306932463536587`, 3.5251900012988284`, 3.5151734358410165`, 3.5051568703832072`, 3.4882189850819185`, 3.471281099780632`, 3.444587040006741`, 3.4178929802328506`, 3.3785568510207282`, 3.3392207218086076`, 3.284836197841704`, 3.230451673874802`, 3.159644274738932`, 3.0888368756030644`}, {1.`, 1.0256410256410258`, 1.0519395134779752`, 1.0789123215158722`, 1.1065767400162794`, 1.1349505025807995`, 1.164051797518769`, 1.1938992795064298`, 1.2245120815450563`, 1.255909827225699`, 1.2881126433084094`, 1.3211411726240099`, 1.355016587306677`, 1.3897606023658229`, 1.4253954896059724`, 1.4619440919035616`, 1.499429837849807`, 1.537876756769033`, 1.5773094941220853`, 1.6177533273047031`, 1.6592341818509777`, 1.701778648052285`, 1.7454139980023438`, 1.7901682030793271`, 1.8360699518762331`, 1.8831486685910086`, 1.9314345318882142`, 1.9809584942443226`, 2.031752301789049`, 2.083848514655435`, 2.137280527851728`, 2.1920825926684393`, 2.248289838608124`, 2.3059382959949097`, 2.365064918742336`, 2.4257076088466594`, 2.4879052387689193`, 2.55169768020552`, 2.617125822169599`, 2.6842316104311976`, 2.7530580517451755`, 2.823649278007966`, 2.896050517057901`, 2.9703082083649863`, 3.046469904983401`, 3.1245844868599564`, 3.20470193554844`, 3.286873718179527`, 3.3711523453923515`, 3.4575920345741094`}, {0.050000000000000044`, 0.051282051282051544`, 0.05259697567389887`, 0.05394561607579362`, 0.05532883700081381`, 0.05674752512903991`, 0.058202589875938404`, 0.0596949639753217`, 0.06122560407725297`, 0.06279549136128493`, 0.06440563216542072`, 0.0660570586312006`, 0.06775082936533394`, 0.06948803011829119`, 0.07126977448029859`, 0.07309720459517832`, 0.07497149189249042`, 0.0768938378384516`, 0.07886547470610417`, 0.08088766636523514`, 0.08296170909254874`, 0.0850889324026145`, 0.08727069990011715`, 0.08950841015396627`, 0.09180349759381157`, 0.09415743342955052`, 0.09657172659441082`, 0.09904792471221624`, 0.10158761508945258`, 0.10419242573277199`, 0.10686402639258663`, 0.10960412963086963`, 0.1124144919042318`, 0.11529691476420867`, 0.11825324571439033`, 0.1212853802142666`, 0.12439526111643406`, 0.12758488303477256`, 0.13085628862879295`, 0.13421157730200495`, 0.13765289613080167`, 0.1411824550478169`, 0.14480251085158136`, 0.14851538917969043`, 0.15232346343943837`, 0.1562291785121639`, 0.1602350342141987`, 0.16434359504862517`, 0.16855750173615291`, 0.17287943366183622`, 0.`}}\)], "Output"], Cell[BoxData[ \({{9.903402580176811`, 10.37252706505216`, 10.841651549927514`, 11.207007617265457`, 11.572363684603403`, 11.839742994711049`, 12.107122304818692`, 12.290383529162723`, 12.473644753506747`, 12.59091689625083`, 12.708189038994902`, 12.778045411919381`, 12.84790178484385`, 12.886522552529076`, 12.925143320214294`, 12.944900563539965`, 12.964657806865578`, 12.973980451757406`, 12.983303096647825`, 12.98734666712458`, 12.99139023757886`, 12.992996271312187`, 12.99460230478207`, 12.995183943809861`, 12.995765580420686`, 12.995956713975536`, 12.996147829458119`, 12.996204480055335`, 12.996261017433303`, 12.996275943246744`, 12.996290262738938`, 12.996293080737724`, 12.996293080737724`, 12.996290262738938`, 12.996275943246744`, 12.996261017433303`, 12.996204480055335`, 12.996147829458119`, 12.995956713975536`, 12.995765580420686`, 12.995183943809861`, 12.99460230478207`, 12.992996271312187`, 12.99139023757886`, 12.98734666712458`, 12.983303096647825`, 12.973980451757406`, 12.964657806865578`, 12.944900563539965`, 12.925143320214294`, 12.886522552529076`, 12.84790178484385`, 12.778045411919381`, 12.708189038994902`, 12.59091689625083`, 12.473644753506747`, 12.290383529162723`, 12.107122304818692`, 11.839742994711049`, 11.572363684603403`, 11.207007617265457`, 10.841651549927514`, 10.37252706505216`, 9.903402580176811`}, {1.`, 1.0526315789473684`, 1.1080332409972298`, 1.1663507799970838`, 1.227737663154825`, 1.2923554348998156`, 1.3603741419998059`, 1.4319727810524272`, 1.5073397695288706`, 1.5866734416093373`, 1.6701825701150919`, 1.758086915910623`, 1.8506178062217082`, 1.9480187433912717`, 2.0505460456750226`, 2.1584695217631817`, 2.272073180803349`, 2.391655979792999`, 2.5175326103084195`, 2.6500343266404416`, 2.789509817516254`, 2.93632612370132`, 3.090869603896126`, 3.2535469514696063`, 3.4247862647048484`, 3.6050381733735244`, 3.7947770246037096`, 3.9945021311617994`, 4.204739085433473`, 4.42604114256155`, 4.658990676380578`, 4.904200711979556`, 5.162316538805654`, 5.434017409205848`, 5.720018324384438`, 6.02107191981062`, 6.337970436451364`, 6.671547824803314`, 7.022681901173378`, 7.392296726833001`, 7.7813649181000075`, 8.19091040645976`, 8.622010809441829`, 9.075800765541196`, 9.553474164862692`, 10.056288396318557`, 10.585566064426272`, 11.14270070518097`, 11.72915735748789`, 12.346480620250045`}, {0.10000000000000009`, 0.10526315789473695`, 0.11080332409972327`, 0.11663507799970851`, 0.12277376631548265`, 0.1292355434899819`, 0.1360374141999805`, 0.14319727810524263`, 0.15073397695288726`, 0.15866734416093387`, 0.16701825701150952`, 0.1758086915910626`, 0.18506178062217105`, 0.19480187433912732`, 0.20505460456750235`, 0.21584695217631822`, 0.22720731808033534`, 0.2391655979792997`, 0.25175326103084217`, 0.26500343266404425`, 0.2789509817516258`, 0.29363261237013205`, 0.3090869603896129`, 0.32535469514696125`, 0.3424786264704851`, 0.3605038173373529`, 0.37947770246037127`, 0.39945021311618056`, 0.42047390854334754`, 0.44260411425615587`, 0.465899067638059`, 0.49042007117511854`, 0.5162316537603688`, 0.5434017406491973`, 0.5720018313097466`, 0.6021071903331219`, 0.6337970378687041`, 0.6671547755281182`, 0.7022681687532852`, 0.7392296495714028`, 0.778136427883533`, 0.819090975852788`, 0.8622009254163814`, 0.9075799168448295`, 0.955347079301454`, 1.0056284837197929`, 1.0585559270237201`, 1.1142693391882315`, 1.1729144475620945`, 1.234646656215892`, 0.`}}\)], "Output"], Cell[BoxData[ \({{528313.1317182413`, 693343.0163132297`, 858372.9009082182`, 997804.4368979412`, 1.137235972887664`*^6, 1.2466517264668844`*^6, 1.3560674800461044`*^6, 1.435710118518645`*^6, 1.5153527569911852`*^6, 1.5690464783814456`*^6, 1.622740199771705`*^6, 1.6562135536638517`*^6, 1.6896869075559967`*^6, 1.7089471063800473`*^6, 1.7282073052040965`*^6, 1.7384138381570524`*^6, 1.74862037110997`*^6, 1.7535895108184929`*^6, 1.758558650526075`*^6, 1.7607749668435447`*^6, 1.762991283146134`*^6, 1.763893875493494`*^6, 1.7647964676681906`*^6, 1.7651308020920737`*^6, 1.7654651349487614`*^6, 1.7655772645368702`*^6, 1.7656893825419177`*^6, 1.7657232373525593`*^6, 1.7657570205068116`*^6, 1.7657660888756432`*^6, 1.7657747787410014`*^6, 1.7657765116632772`*^6, 1.7657765116632772`*^6, 1.7657747787410014`*^6, 1.7657660888756432`*^6, 1.7657570205068116`*^6, 1.7657232373525593`*^6, 1.7656893825419177`*^6, 1.7655772645368702`*^6, 1.7654651349487614`*^6, 1.7651308020920737`*^6, 1.7647964676681906`*^6, 1.763893875493494`*^6, 1.762991283146134`*^6, 1.7607749668435447`*^6, 1.758558650526075`*^6, 1.7535895108184929`*^6, 1.74862037110997`*^6, 1.7384138381570524`*^6, 1.7282073052040965`*^6, 1.7089471063800473`*^6, 1.6896869075559967`*^6, 1.6562135536638517`*^6, 1.622740199771705`*^6, 1.5690464783814456`*^6, 1.5153527569911852`*^6, 1.435710118518645`*^6, 1.3560674800461044`*^6, 1.2466517264668844`*^6, 1.137235972887664`*^6, 997804.4368979412`, 858372.9009082182`, 693343.0163132297`, 528313.1317182413`}, {1.`, 1.3333333333333333`, 1.7777777777777777`, 2.3703703703703702`, 3.1604938271604937`, 4.213991769547325`, 5.6186556927297655`, 7.491540923639687`, 9.988721231519582`, 13.318294975359443`, 17.757726633812588`, 23.67696884508345`, 31.5692917934446`, 42.09238905792613`, 56.12318541056817`, 74.83091388075755`, 99.77455184101007`, 133.0327357880134`, 177.37698105068455`, 236.50264140091272`, 315.33685520121696`, 420.4491402682893`, 560.5988536910523`, 747.4651382547364`, 996.6201843396485`, 1328.8269124528647`, 1771.7692166038196`, 2362.358955471759`, 3149.811940629012`, 4199.749254172016`, 5599.665672229354`, 7466.220896305805`, 9954.961193915497`, 13273.28159111472`, 17697.70877141315`, 23596.94501704761`, 31462.59322391912`, 41950.12420519742`, 55933.498184558506`, 74577.99703170634`, 99437.32587153937`, 132583.09856196973`, 176777.4507617338`, 235703.25707466682`, 314270.9595675176`, 419027.9075009125`, 558703.7139758172`, 744938.1570035361`, 993250.3817625504`, 1.3243334456729372`*^6}, {0.5`, 0.6666666666666665`, 0.8888888888888888`, 1.1851851851851851`, 1.5802469135802468`, 2.106995884773662`, 2.8093278463648836`, 3.745770461819843`, 4.994360615759792`, 6.659147487679721`, 8.878863316906294`, 11.838484422541725`, 15.784645896722296`, 21.046194528963063`, 28.061592705284085`, 37.415456940378775`, 49.88727592050503`, 66.51636789400669`, 88.68849052534227`, 118.25132070045635`, 157.66842760060848`, 210.22457013414464`, 280.2994268455261`, 373.73256912736815`, 498.3100921698242`, 664.4134562264323`, 885.8846083019098`, 1181.1794777358796`, 1574.9059703145058`, 2099.8746270860083`, 2799.832836114678`, 3733.1104472837196`, 4977.480595798837`, 6636.640782229892`, 8848.854368451692`, 11798.472397568894`, 15731.296471917445`, 20975.061437040982`, 27966.74827072175`, 37288.99529371879`, 49718.65903564553`, 66291.53590445325`, 88388.70946939953`, 117851.57911086213`, 157135.42190009233`, 209513.78710001073`, 279351.6645415785`, 372468.5566598489`, 496624.59586558014`, 662165.1853785345`, 0.`}}\)], "Output"] }, Closed]], Cell[BoxData[{ \(\(PlotExp21\ = \ ListPlot[ exp21[\([2]\)], \ {PlotRange \[Rule] {{0, \ 50}, \ {0, \ 20}}, PlotJoined \[Rule] True, PlotStyle \[Rule] Hue[0.1]}];\)\), "\[IndentingNewLine]", \(\(PlotExp22\ = \ ListPlot[ exp22[\([2]\)], \ {PlotRange \[Rule] {{0, \ 50}, \ {0, \ 20}}, PlotJoined \[Rule] True, PlotStyle \[Rule] Hue[0.2]}];\)\), "\[IndentingNewLine]", \(\(PlotExp23\ = \ ListPlot[ exp23[\([2]\)], \ {PlotRange \[Rule] {{0, \ 50}, \ {0, \ 20}}, PlotJoined \[Rule] True, PlotStyle \[Rule] Hue[0.3]}];\)\), "\[IndentingNewLine]", \(\(PlotExp24\ = \ ListPlot[ exp24[\([2]\)], \ {PlotRange \[Rule] {{0, \ 50}, \ {0, \ 20}}, PlotJoined \[Rule] True, PlotStyle \[Rule] Hue[0.4]}];\)\), "\[IndentingNewLine]", \(\(PlotExp25\ = \ ListPlot[ exp25[\([2]\)], \ {PlotRange \[Rule] {{0, \ 50}, \ {0, \ 20}}, PlotJoined \[Rule] True, PlotStyle \[Rule] Hue[0.5]}];\)\), "\[IndentingNewLine]", \(\(PlotExp26\ = \ ListPlot[ exp26[\([2]\)], \ {PlotRange \[Rule] {{0, \ 50}, \ {0, \ 20}}, PlotJoined \[Rule] True, PlotStyle \[Rule] Hue[0.6]}];\)\), "\[IndentingNewLine]", \(Show[{PlotExp21, \ PlotExp22, \ PlotExp23, \ PlotExp24, \ PlotExp25, \ PlotExp26}]\)}], "Input"], Cell["\<\ Compared to Kaczmarz, Jacobi appears to diverge very quickly for the large \ \[Alpha]=3 curve and to converge rather quickly for the \[Alpha]=1.5 curve. \ (Redder colors correspond to larger alpha). Shown below is error norms versus \ iteration.\ \>", "Text"], Cell[GraphicsData["PostScript", "\<\ %! %%Creator: Mathematica %%AspectRatio: .61803 MathPictureStart /Mabs { Mgmatrix idtransform Mtmatrix dtransform } bind def /Mabsadd { Mabs 3 -1 roll add 3 1 roll add exch } bind def %% Graphics %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10 scalefont setfont % Scaling calculations -1.04083e-017 0.02 0 0.0309017 [ [.2 -0.0125 -6 -9 ] [.2 -0.0125 6 0 ] [.4 -0.0125 -6 -9 ] [.4 -0.0125 6 0 ] [.6 -0.0125 -6 -9 ] [.6 -0.0125 6 0 ] [.8 -0.0125 -6 -9 ] [.8 -0.0125 6 0 ] [1 -0.0125 -6 -9 ] [1 -0.0125 6 0 ] [-0.0125 .07725 -18 -4.5 ] [-0.0125 .07725 0 4.5 ] [-0.0125 .15451 -6 -4.5 ] [-0.0125 .15451 0 4.5 ] [-0.0125 .23176 -18 -4.5 ] [-0.0125 .23176 0 4.5 ] [-0.0125 .30902 -12 -4.5 ] [-0.0125 .30902 0 4.5 ] [-0.0125 .38627 -24 -4.5 ] [-0.0125 .38627 0 4.5 ] [-0.0125 .46353 -12 -4.5 ] [-0.0125 .46353 0 4.5 ] [-0.0125 .54078 -24 -4.5 ] [-0.0125 .54078 0 4.5 ] [-0.0125 .61803 -12 -4.5 ] [-0.0125 .61803 0 4.5 ] [ 0 0 0 0 ] [ 1 .61803 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath 0 g .25 Mabswid [ ] 0 setdash .2 0 m .2 .00625 L s [(10)] .2 -0.0125 0 1 Mshowa .4 0 m .4 .00625 L s [(20)] .4 -0.0125 0 1 Mshowa .6 0 m .6 .00625 L s [(30)] .6 -0.0125 0 1 Mshowa .8 0 m .8 .00625 L s [(40)] .8 -0.0125 0 1 Mshowa 1 0 m 1 .00625 L s [(50)] 1 -0.0125 0 1 Mshowa .125 Mabswid .04 0 m .04 .00375 L s .08 0 m .08 .00375 L s .12 0 m .12 .00375 L s .16 0 m .16 .00375 L s .24 0 m .24 .00375 L s .28 0 m .28 .00375 L s .32 0 m .32 .00375 L s .36 0 m .36 .00375 L s .44 0 m .44 .00375 L s .48 0 m .48 .00375 L s .52 0 m .52 .00375 L s .56 0 m .56 .00375 L s .64 0 m .64 .00375 L s .68 0 m .68 .00375 L s .72 0 m .72 .00375 L s .76 0 m .76 .00375 L s .84 0 m .84 .00375 L s .88 0 m .88 .00375 L s .92 0 m .92 .00375 L s .96 0 m .96 .00375 L s .25 Mabswid 0 0 m 1 0 L s 0 .07725 m .00625 .07725 L s [(2.5)] -0.0125 .07725 1 0 Mshowa 0 .15451 m .00625 .15451 L s [(5)] -0.0125 .15451 1 0 Mshowa 0 .23176 m .00625 .23176 L s [(7.5)] -0.0125 .23176 1 0 Mshowa 0 .30902 m .00625 .30902 L s [(10)] -0.0125 .30902 1 0 Mshowa 0 .38627 m .00625 .38627 L s [(12.5)] -0.0125 .38627 1 0 Mshowa 0 .46353 m .00625 .46353 L s [(15)] -0.0125 .46353 1 0 Mshowa 0 .54078 m .00625 .54078 L s [(17.5)] -0.0125 .54078 1 0 Mshowa 0 .61803 m .00625 .61803 L s [(20)] -0.0125 .61803 1 0 Mshowa .125 Mabswid 0 .01545 m .00375 .01545 L s 0 .0309 m .00375 .0309 L s 0 .04635 m .00375 .04635 L s 0 .0618 m .00375 .0618 L s 0 .09271 m .00375 .09271 L s 0 .10816 m .00375 .10816 L s 0 .12361 m .00375 .12361 L s 0 .13906 m .00375 .13906 L s 0 .16996 m .00375 .16996 L s 0 .18541 m .00375 .18541 L s 0 .20086 m .00375 .20086 L s 0 .21631 m .00375 .21631 L s 0 .24721 m .00375 .24721 L s 0 .26266 m .00375 .26266 L s 0 .27812 m .00375 .27812 L s 0 .29357 m .00375 .29357 L s 0 .32447 m .00375 .32447 L s 0 .33992 m .00375 .33992 L s 0 .35537 m .00375 .35537 L s 0 .37082 m .00375 .37082 L s 0 .40172 m .00375 .40172 L s 0 .41717 m .00375 .41717 L s 0 .43262 m .00375 .43262 L s 0 .44807 m .00375 .44807 L s 0 .47898 m .00375 .47898 L s 0 .49443 m .00375 .49443 L s 0 .50988 m .00375 .50988 L s 0 .52533 m .00375 .52533 L s 0 .55623 m .00375 .55623 L s 0 .57168 m .00375 .57168 L s 0 .58713 m .00375 .58713 L s 0 .60258 m .00375 .60258 L s .25 Mabswid 0 0 m 0 .61803 L s 0 0 m 1 0 L 1 .61803 L 0 .61803 L closepath clip newpath 1 .6 0 r .5 Mabswid .02 .0309 m .04 .0309 L .06 .0206 L .08 .01717 L .1 .01145 L .12 .00916 L .14 .0061 L .16 .00479 L .18 .00319 L .2 .00248 L .22 .00165 L .24 .00127 L .26 .00085 L .28 .00065 L .3 .00043 L .32 .00033 L .34 .00022 L .36 .00017 L .38 .00011 L .4 8e-005 L .42 6e-005 L .44 4e-005 L .46 3e-005 L .48 2e-005 L .5 1e-005 L .52 1e-005 L .54 1e-005 L .56 1e-005 L .58 0 L .6 0 L .62 0 L .64 0 L .66 0 L .68 0 L .7 0 L .72 0 L .74 0 L .76 0 L .78 0 L .8 0 L .82 0 L .84 0 L .86 0 L .88 0 L .9 0 L .92 0 L .94 0 L .96 0 L .98 0 L 1 0 L Mistroke Mfstroke .8 1 0 r .02 .0309 m .04 .0309 L .06 .0309 L .08 .0309 L .1 .0309 L .12 .0309 L .14 .0309 L .16 .0309 L .18 .0309 L .2 .0309 L .22 .0309 L .24 .0309 L .26 .0309 L .28 .0309 L .3 .0309 L .32 .0309 L .34 .0309 L .36 .0309 L .38 .0309 L .4 .0309 L .42 .0309 L .44 .0309 L .46 .0309 L .48 .0309 L .5 .0309 L .52 .0309 L .54 .0309 L .56 .0309 L .58 .0309 L .6 .0309 L .62 .0309 L .64 .0309 L .66 .0309 L .68 .0309 L .7 .0309 L .72 .0309 L .74 .0309 L .76 .0309 L .78 .0309 L .8 .0309 L .82 .0309 L .84 .0309 L .86 .0309 L .88 .0309 L .9 .0309 L .92 .0309 L .94 .0309 L .96 .0309 L .98 .0309 L 1 .0309 L Mistroke Mfstroke .2 1 0 r .02 .0309 m .04 .03106 L .06 .03121 L .08 .03137 L .1 .03153 L .12 .03169 L .14 .03185 L .16 .03201 L .18 .03217 L .2 .03233 L .22 .03249 L .24 .03265 L .26 .03282 L .28 .03298 L .3 .03315 L .32 .03331 L .34 .03348 L .36 .03365 L .38 .03382 L .4 .03399 L .42 .03416 L .44 .03433 L .46 .0345 L .48 .03468 L .5 .03485 L .52 .03503 L .54 .0352 L .56 .03538 L .58 .03556 L .6 .03574 L .62 .03592 L .64 .0361 L .66 .03628 L .68 .03646 L .7 .03664 L .72 .03683 L .74 .03701 L .76 .0372 L .78 .03739 L .8 .03757 L .82 .03776 L .84 .03795 L .86 .03814 L .88 .03833 L .9 .03853 L .92 .03872 L .94 .03892 L .96 .03911 L .98 .03931 L 1 .0395 L Mistroke Mfstroke 0 1 .4 r .02 .0309 m .04 .03169 L .06 .03251 L .08 .03334 L .1 .0342 L .12 .03507 L .14 .03597 L .16 .03689 L .18 .03784 L .2 .03881 L .22 .0398 L .24 .04083 L .26 .04187 L .28 .04295 L .3 .04405 L .32 .04518 L .34 .04633 L .36 .04752 L .38 .04874 L .4 .04999 L .42 .05127 L .44 .05259 L .46 .05394 L .48 .05532 L .5 .05674 L .52 .05819 L .54 .05968 L .56 .06121 L .58 .06278 L .6 .06439 L .62 .06605 L .64 .06774 L .66 .06948 L .68 .07126 L .7 .07308 L .72 .07496 L .74 .07688 L .76 .07885 L .78 .08087 L .8 .08295 L .82 .08507 L .84 .08726 L .86 .08949 L .88 .09179 L .9 .09414 L .92 .09655 L .94 .09903 L .96 .10157 L .98 .10417 L 1 .10685 L Mistroke Mfstroke 0 1 1 r .02 .0309 m .04 .03253 L .06 .03424 L .08 .03604 L .1 .03794 L .12 .03994 L .14 .04204 L .16 .04425 L .18 .04658 L .2 .04903 L .22 .05161 L .24 .05433 L .26 .05719 L .28 .0602 L .3 .06337 L .32 .0667 L .34 .07021 L .36 .07391 L .38 .0778 L .4 .08189 L .42 .0862 L .44 .09074 L .46 .09551 L .48 .10054 L .5 .10583 L .52 .1114 L .54 .11727 L .56 .12344 L .58 .12993 L .6 .13677 L .62 .14397 L .64 .15155 L .66 .15952 L .68 .16792 L .7 .17676 L .72 .18606 L .74 .19585 L .76 .20616 L .78 .21701 L .8 .22843 L .82 .24046 L .84 .25311 L .86 .26643 L .88 .28046 L .9 .29522 L .92 .31076 L .94 .32711 L .96 .34433 L .98 .36245 L 1 .38153 L Mistroke Mfstroke 0 .4 1 r .02 .0309 m .04 .0412 L .06 .05494 L .08 .07325 L .1 .09766 L .12 .13022 L .14 .17363 L .16 .2315 L .18 .30867 L .2 .41156 L .22 .54874 L s .22 .54874 m .22758 .61803 L s % End of Graphics MathPictureEnd \ \>"], "Graphics", ImageSize->{635, 392.313}, ImageMargins->{{43, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, ImageCache->GraphicsData["Bitmap", "\<\ CF5dJ6E]HGAYHf4PAg9QL6QYHg00000?l0oiT0B@3oV@070?ooo`007`3oool00`000000oooo0?ooo`0E0?ooo`03 0000003oool0oooo01D0oooo00<000000?ooo`3oool05@3oool00`000000oooo0?ooo`0D0?ooo`03 0000003oool0oooo01D0oooo00<000000?ooo`3oool0103ooon?0?nI0140oooo00<000000?ooo`3o ool05@3oool00`000000oooo0?ooo`0E0?ooo`030000003oool0oooo01D0oooo00<000000?ooo`3o ool05@3oool00`000000oooo0?ooo`0E0?ooo`030000003oool0oooo01@0oooo00<000000?ooo`3o ool05@3oool00`000000oooo0?ooo`0E0?ooo`030000003oool0oooo01D0oooo00<000000?ooo`3o ool05@3oool00`000000oooo0?ooo`0E0?ooo`030000003oool0oooo01D0oooo00<000000?ooo`3o ool0503oool00`000000oooo0?ooo`050?ooo`007`3oool00`000000oooo0?ooo`0E0?ooo`030000 003oool0oooo01D0oooo00<000000?ooo`3oool05@3oool00`000000oooo0?ooo`0D0?ooo`030000 003oool0oooo00@0oooo603oV@0A0?ooo`030000003oool0oooo01D0oooo00<000000?ooo`3oool0 5@3oool00`000000oooo0?ooo`0E0?ooo`030000003oool0oooo01D0oooo00<000000?ooo`3oool0 503oool00`000000oooo0?ooo`0E0?ooo`030000003oool0oooo01D0oooo00<000000?ooo`3oool0 5@3oool00`000000oooo0?ooo`0E0?ooo`030000003oool0oooo01D0oooo00<000000?ooo`3oool0 5@3oool00`000000oooo0?ooo`0D0?ooo`030000003oool0oooo01D0oooo00<000000?ooo`3oool0 5@3oool00`000000oooo0?ooo`0E0?ooo`030000003oool0oooo01D0oooo00<000000?ooo`3oool0 5@3oool00`000000oooo0?ooo`0E0?ooo`030000003oool0oooo01@0oooo00<000000?ooo`3oool0 1@3oool001l0oooo00<000000?ooo`3oool05@3oool00`000000oooo0?ooo`0E0?ooo`030000003o ool0oooo01D0oooo00<000000?ooo`3oool03`3oool<0?nI0140oooo00<000000?ooo`3oool05@3o ool00`000000oooo0?ooo`0E0?ooo`030000003oool0oooo01D0oooo00<000000?ooo`3oool05@3o ool00`000000oooo0?ooo`0E0?ooo`030000003oool0oooo01@0oooo00<000000?ooo`3oool05@3o ool00`000000oooo0?ooo`0E0?ooo`030000003oool0oooo01D0oooo00<000000?ooo`3oool05@3o ool00`000000oooo0?ooo`0E0?ooo`030000003oool0oooo01D0oooo00<000000?ooo`3oool0503o ool00`000000oooo0?ooo`0E0?ooo`030000003oool0oooo01D0oooo00<000000?ooo`3oool05@3o ool00`000000oooo0?ooo`0E0?ooo`030000003oool0oooo01D0oooo00<000000?ooo`3oool05@3o ool00`000000oooo0?ooo`0D0?ooo`030000003oool0oooo00D0oooo000O0?ooo`030000003oool0 oooo04h0oooo2@3oV@0M0?ooo`030000003oool0oooo07D0oooo00<000000?ooo`3oool0M03oool0 0`000000oooo0?ooo`1d0?ooo`030000003oool0oooo07@0oooo00<000000?ooo`3oool01@3oool0 01l0oooo00<000000?ooo`3oool0B03oool60?nI0?l0ooooo`3oool=0?ooo`007`3oool00`000000 oooo0?ooo`100?ooo`P0oiT0o`3ooooo0?oooa<0oooo000O0?ooo`030000003oool0oooo03P0oooo 203oV@3o0?ooool0oooo6`3oool001l0oooo00<000000?ooo`3oool0=@3oool30?nI0?l0ooooo`3o oolS0?ooo`007`3oool00`000000oooo0?ooo`0b0?ooo`<0oiT0o`3ooooo0?ooobH0oooo000O0?oo o`<00000;`3oool30?nI0?l0ooooo`3ooolY0?ooo`007`3oool00`000000oooo0?ooo`0[0?ooo`@0 oiT0o`3ooooo0?ooob`0oooo000O0?ooo`030000003oool0oooo02D0oooo1P3oV@3o0?ooool0oooo <03oool001l0oooo00<000000?ooo`3oool08@3oool40?nI0?l0ooooo`3ooolf0?ooo`007`3oool0 0`000000oooo0?ooo`0O0?ooo`80oiT0o`3ooooo0?ooocX0oooo000O0?ooo`030000003oool0oooo 01d0oooo0P3oV@3o0?ooool0oooo?03oool001l0oooo00<000000?ooo`3oool06`3oool20?nI0?l0 ooooo`3oooln0?ooo`007`3oool00`000000oooo0?ooo`0I0?ooo`80oiT0o`3ooooo0?oood00oooo 000O0?ooo`030000003oool0oooo01L0oooo0P3oV@3o0?ooool0oooo@P3oool001l0oooo0`000009 0?ooo`03001Vo`00ool00?oo00<00?oo3000ofHk03?o0?l0c?l0o@303ooolH003oI_l0oooo_03oool001l0oooo00<000000?ooo`3o ool05P3oool2001VocH0oooo2000oom80?ooo``00?mVo`3ooon`0?ooo`007`3oool00`000000oooo 0?ooo`0H0?ooo`03001Vo`3oool0oooo03/0oooo3000oom80?oooaP00?mVo`3ooonH0?ooo`007`3o ool3000001T0oooo0P00I_m70?ooo`T00?ooE`3oool<003oI_l0ooooS03oool001l0oooo00<00000 0?ooo`3oool06`3oool00`00I_l0oooo0?ooo`1=0?ooo`H00?ooG@3oool<003oI_l0ooooP03oool0 01l0oooo00<000000?ooo`3oool0703oool2001Voe<0oooo2@00oomP0?oooaP00?mVo`3ooomX0?oo o`007`3oool00`000000oooo0?ooo`0N0?ooo`03001Vo`3oool0oooo05T0oooo2@00oom_0?ooo``0 0?mVo`3ooomL0?ooo`007`3oool00`000000oooo0?ooo`0O0?ooo`8006KoHP3oool6003oogD0oooo 2`00ofKo0?oooe40oooo000O0?ooo`030000003oool0oooo0240oooo00<006Ko0?ooo`3oool0I@3o ool6003oogX0oooo6000ofKo0?ooocT0oooo000O0?ooo`030000003oool0oooo0280oooo00<006Ko 0?ooo`3oool0JP3oool6003ooh`0oooo3000ofKo0?ooobd0oooo000O0?ooo`030000003oool0oooo 02<0oooo00<006Ko0?ooo`3oool0K`3oool9003oohl0oooo3000ofKo0?ooob40oooo000O0?ooo`03 0000003oool0oooo02@0oooo00<006Ko0?ooo`3oool0M`3oool9003ooi80oooo3000ofKo0?oooaD0 oooo000O0?ooo`<000009@3oool00`00I_l0oooo0?ooo`1o0?ooo`H00?ooV03oool<003oI_l0oooo 2@3oool001l0oooo00<000000?ooo`3oool09P3oool00`00I_l0oooo0?ooo`240?ooo`H00?ooWP3o ool<003oI_`0oooo000O0?ooo`030000003oool0oooo02L0oooo0P00I_n:0?ooo`H00?ooY03oool< 003oI_00oooo000O0?ooo`030000003oool0oooo02T0oooo00<006Ko0?ooo`3oool0S@3oool6003o ojX0oooo3000ofKT0?ooo`007`3oool00`000000oooo0?ooo`0Z0?ooo`03001Vo`3oool0oooo0980 oooo1P00oon`0?ooo``00?mVf03oool001l0oooo00<000000?ooo`3oool0:`3oool00`00I_l0oooo 0?ooo`2G0?ooo`D00?oo]`3oool<003oI/`0oooo000O0?ooo`030000003oool0oooo02`0oooo00<0 06Ko0?ooo`3oool0V`3oool4003ookl0oooo3000ofK00?ooo`007`3oool00`000000oooo0?ooo`0] 0?ooo`03001Vo`3oool0oooo09h0oooo1000ooo70?ooo``00?mV]03oool000H0oooo00X0okmd0000 0000000000000000M02oool0oooo0?oo_`1d000004RL0`3oool0103OW4P0000000000018W=l80?oo o`030000003oool0oooo02h0oooo00<006Ko0?ooo`3oool0X@3oool5003oolh0oooo2`00ofJY0?oo o`001`3oool00`2LB000001d0;ooo`080?ooo`060?oOW018B9`0oooo0?ooo`2LB4P0W=oo1`3oool0 0`000000oooo0?ooo`0_0?ooo`03001Vo`3oool0oooo0:D0oooo1P00oooC0?ooo`T00?mVX03oool0 00P0oooo00<0okmd0000001d_ol02`3oool00`2oM4P0W=oo0?ooo`060?ooo`D00000;@3oool00`00 I_l0oooo0?ooo`2[0?ooo`H00?ooeP3oool6003oIYX0oooo00090?ooo`030?oo_`2o_ol0oooo00L0 oooo00@0_g@000000000000007Bo203oool00`000000oooo0?ooo`0`0?ooo`03001Vo`3oool0oooo 0;00oooo1P00oooF0?ooo`T00?mVT@3oool000H0oooo00H0omnL04Q8W03oool0oono07@0M02oool7 0?ooo`030;mdB02Lgol0oooo00T0oooo00<000000?ooo`3oool0<@3oool00`00I_l0oooo0?ooo`2e 0?ooo`D00?oofP3oool<003oIXD0oooo00070?ooo`040=nLB0000000000004RLg`P0oooo00@0_g@0 00000000000007Bo203oool00`000000oooo0?ooo`0b0?ooo`03001Vo`3oool0oooo0;T0oooo1000 oooR0?ooo``00?mVN@3oool001l0oooo00<000000?ooo`3oool0<`3oool00`00I_l0oooo0?ooo`2l 0?ooo`@00?oojP3oool9003oIW00oooo000O0?ooo`030000003oool0oooo03<0oooo00<006Ko0?oo o`3oool0`03oool4003oonl0oooo1P00ofIZ0?ooo`007`3oool00`000000oooo0?ooo`0d0?ooo`03 001Vo`3oool0oooo0<<0oooo1000oooa0?ooo`T00?mVH@3oool001l0oooo00<000000?ooo`3oool0 =@3oool00`00I_l0oooo0?ooo`360?ooo`@00?oomP3oool<003oIUD0oooo000O0?ooo`030000003o ool0oooo03H0oooo00<006Ko0?ooo`3oool0b@3oool4003oooh0oooo2@00ofI<0?ooo`007`3oool3 000003L0oooo00<006Ko0?ooo`3oool0c03oool6003oool0oooo0P3oool6003oITH0oooo000O0?oo o`030000003oool0oooo03L0oooo00<006Ko0?ooo`3oool0dP3oool5003oool0oooo0`3oool9003o ISd0oooo000O0?ooo`030000003oool0oooo03P0oooo00<006Ko0?ooo`3oool0eP3oool4003oool0 oooo203oool9003oIS@0oooo000O0?ooo`030000003oool0oooo03T0oooo00<006Ko0?ooo`3oool0 f@3oool4003oool0oooo3@3oool6003oIRh0oooo000O0?ooo`030000003oool0oooo03X0oooo00<0 06Ko0?ooo`3oool0g03oool4003oool0oooo3`3oool9003oIRD0oooo000O0?ooo`030000003oool0 oooo03X0oooo00<006Ko0?ooo`3oool0h03oool3003oool0oooo5@3oool9003oIQ`0oooo000O0?oo o`030000003oool0oooo03/0oooo00<006Ko0?ooo`3oool0hP3oool3003oool0oooo6`3oool6003o IQH0oooo000O0?ooo`030000003oool0oooo03`0oooo00<006Ko0?ooo`3oool0i03oool3003oool0 oooo7P3oool9003oIPd0oooo000O0?ooo`030000003oool0oooo03`0oooo00<006Ko0?ooo`3oool0 i`3oool3003oool0oooo903oool6003oIPL0oooo000O0?ooo`<00000?@3oool00`00I_l0oooo0?oo o`3Y0?ooo`@00?ooo`3oool]0?ooo`007`3oool00`000000oooo0?ooo`0m0?ooo`03001Vo`3oool0 oooo0>d0oooo1000oooo0?ooobT0oooo000O0?ooo`030000003oool0oooo03h0oooo00<006Ko0?oo o`3oool0l03oool4003oool0oooo9@3oool001l0oooo00<000000?ooo`3oool0?`3oool00`00I_l0 oooo0?ooo`3c0?ooo`@00?ooo`3ooolQ0?ooo`007`3oool00`000000oooo0?ooo`0o0?ooo`03001V o`3oool0oooo0?L0oooo1000oooo0?oooad0oooo000O0?ooo`030000003oool0oooo0400oooo00<0 06Ko0?ooo`3oool0nP3oool4003oool0oooo6@3oool001l0oooo00<000000?ooo`3oool0@@3oool0 0`00I_l0oooo0?ooo`3m0?ooo`<00?ooo`3ooolF0?ooo`007`3oool00`000000oooo0?ooo`110?oo o`03001Vo`3oool0oooo0?l0oooo0@3oool3003oool0oooo4`3oool001l0oooo00<000000?ooo`3o ool0@P3oool00`00I_l0oooo0?ooo`3o0?ooo`<0oooo0`00oooo0?oooa00oooo000O0?ooo`<00000 @P3oool00`00I_l0oooo0?ooo`3o0?ooo`H0oooo0`00oooo0?ooo`d0oooo000O0?ooo`030000003o ool0oooo04<0oooo00<006Ko0?ooo`3oool0o`3oool80?ooo`<00?ooo`3oool:0?ooo`007`3oool0 0`000000oooo0?ooo`140?ooo`03001Vo`3oool0oooo0?l0oooo2P3oool3003oool0oooo1`3oool0 01l0oooo00<000000?ooo`3oool0A03oool00`00I_l0oooo0?ooo`3o0?ooo`d0oooo0`00oooo0?oo o`@0oooo000O0?ooo`030000003oool0oooo04D0oooo00<006Ko0?ooo`3oool0o`3oool?0?ooo`<0 0?ooo`3oool10?ooo`007`3oool00`000000oooo0?ooo`150?ooo`03001Vo`3oool0oooo0?l0oooo 4P3oool3003oood0oooo000O0?ooo`030000003oool0oooo04H0oooo00<006Ko0?ooo`3oool0o`3o oolD0?ooo`<00?oonP3oool001l0oooo00<000000?ooo`3oool0AP3oool00`00I_l0oooo0?ooo`3o 0?oooaL0oooo0`00ooog0?ooo`007`3oool00`000000oooo0?ooo`170?ooo`03001Vo`3oool0oooo 0?l0oooo6@3oool3003ooo@0oooo000O0?ooo`<00000A`3oool00`00I_l0oooo0?ooo`3o0?oooa`0 oooo0`00oooa0?ooo`007`3oool00`000000oooo0?ooo`180?ooo`03001Vo`3oool0oooo0?l0oooo 7P3oool3003oonh0oooo000O0?ooo`030000003oool0oooo04P0oooo00<006Ko0?ooo`3oool0o`3o oolQ0?ooo`<00?ooj`3oool001l0oooo00<000000?ooo`3oool0B03oool00`00I_l0oooo0?ooo`3o 0?ooob@0oooo0`00oooX0?ooo`007`3oool00`000000oooo0?ooo`190?ooo`03001Vo`3oool0oooo 0?l0oooo9P3oool2003oonH0oooo000O0?ooo`030000003oool0oooo04T0oooo00<006Ko0?ooo`3o ool0o`3ooolX0?ooo`800?ooi03oool001l0oooo00<000000?ooo`3oool0BP3oool00`00I_l0oooo 0?ooo`3o0?ooobT0oooo0`00oooQ0?ooo`007`3oool00`000000oooo0?ooo`1:0?ooo`03001Vo`3o ool0oooo0?l0oooo;03oool2003ooml0oooo000C0?ooo`040=nLB0000000000004RLg`P0oooo00<0 00000?ooo`3oool0BP3oool00`00I_l0oooo0?ooo`3o0?ooobh0oooo0`00oooL0?ooo`004P3oool0 1P3ogi`0B4RL0?ooo`3oool0W4Q809cOo`L0oooo00<000000?ooo`3oool0B`3oool00`00I_l0oooo 0?ooo`3o0?oooc00oooo0P00oooJ0?ooo`005P3oool00`2oM4P0W=oo0?ooo`060?ooo`D00000B@3o ool00`00I_l0oooo0?ooo`3o0?oooc80oooo0P00oooH0?ooo`004`3oool0102oM000000000000000 M;l80?ooo`030000003oool0oooo04`0oooo00<006Ko0?ooo`3oool0o`3ooolc0?ooo`<00?ooe@3o ool001<0oooo00<0_gA809cOo`3oool02@3oool00`000000oooo0?ooo`1<0?ooo`03001Vo`3oool0 oooo0?l0oooo=P3oool2003oom<0oooo000C0?ooo`040;md000000000000001d_`P0oooo00<00000 0?ooo`3oool0C@3oool00`00I_l0oooo0?ooo`3o0?ooocL0oooo0`00ooo@0?ooo`007`3oool00`00 0000oooo0?ooo`1=0?ooo`03001Vo`3oool0oooo0?l0oooo>P3oool2003oolh0oooo000O0?ooo`03 0000003oool0oooo04d0oooo00<006Ko0?ooo`3oool0o`3oooll0?ooo`800?ooc03oool001l0oooo 00<000000?ooo`3oool0CP3oool00`00I_l0oooo0?ooo`3o0?ooocd0oooo0`00ooo90?ooo`007`3o ool00`000000oooo0?ooo`1>0?ooo`03001Vo`3oool0oooo0?l0oooo@03oool2003oolL0oooo000O 0?ooo`030000003oool0oooo04l0oooo00<006Ko0?ooo`3oool0o`3ooom10?ooo`<00?ooa03oool0 01l0oooo0`00001?0?ooo`03001Vo`3oool0oooo0?l0ooooA03oool2003ool80oooo000O0?ooo`03 0000003oool0oooo0500oooo00<006Ko0?ooo`3oool0o`3ooom50?ooo`800?oo`03oool001l0oooo 00<000000?ooo`3oool0D03oool00`00I_l0oooo0?ooo`3o0?ooodL0oooo0`00oonm0?ooo`007`3o ool00`000000oooo0?ooo`1@0?ooo`03001Vo`3oool0oooo0?l0ooooBP3oool2003ook/0oooo000O 0?ooo`030000003oool0oooo0540oooo00<006Ko0?ooo`3oool0o`3ooom;0?ooo`<00?oo^03oool0 01l0oooo00<000000?ooo`3oool0D@3oool00`00I_l0oooo0?ooo`3o0?ooodh0oooo0P00oonf0?oo o`007`3oool00`000000oooo0?ooo`1A0?ooo`03001Vo`3oool0oooo0?l0ooooD03oool2003ook@0 oooo000O0?ooo`030000003oool0oooo0580oooo00<006Ko0?ooo`3oool0o`3ooomA0?ooo`800?oo /P3oool001l0oooo00<000000?ooo`3oool0DP3oool00`00I_l0oooo0?ooo`3o0?oooe<0oooo0P00 oon`0?ooo`007`3oool300000580oooo00<006Ko0?ooo`3oool0o`3ooomE0?ooo`800?oo[P3oool0 01l0oooo00<000000?ooo`3oool0D`3oool00`00I_l0oooo0?ooo`3o0?oooeH0oooo0P00oon/0?oo o`007`3oool00`000000oooo0?ooo`1C0?ooo`03001Vo`3oool0oooo0?l0ooooF03oool2003oojX0 oooo000O0?ooo`030000003oool0oooo05<0oooo00<006Ko0?ooo`3oool0o`3ooomJ0?ooo`800?oo Z03oool001l0oooo00<000000?ooo`3oool0E03oool00`00I_l0oooo0?ooo`3o0?oooe/0oooo0P00 oonV0?ooo`007`3oool00`000000oooo0?ooo`1D0?ooo`03001Vo`3oool0oooo0?l0ooooG@3oool2 003ooj@0oooo000O0?ooo`030000003oool0oooo05@0oooo00<006Ko0?ooo`3oool0o`3ooomO0?oo o`800?ooXP3oool001l0oooo00<000000?ooo`3oool0E@3oool00`00I_l0oooo0?ooo`3o0?ooof00 oooo0P00oonP0?ooo`007`3oool00`000000oooo0?ooo`1E0?ooo`03001Vo`3oool0oooo0?l0oooo HP3oool2003ooih0oooo000O0?ooo`<00000E@3oool00`00I_l0oooo0?ooo`3o0?ooof@0oooo0P00 oonL0?ooo`007`3oool00`000000oooo0?ooo`1F0?ooo`03001Vo`3oool0oooo0?l0ooooI@3oool2 003ooiX0oooo000O0?ooo`030000003oool0oooo05H0oooo00<006Ko0?ooo`3oool0o`3ooomW0?oo o`800?ooV03oool001l0oooo00<000000?ooo`3oool0E`3oool00`00I_l0oooo0?ooo`3o0?ooofP0 oooo0P00oonF0?ooo`007`3oool00`000000oooo0?ooo`1G0?ooo`03001Vo`3oool0oooo0?l0oooo JP3oool2003ooi@0oooo000O0?ooo`030000003oool0oooo05L0oooo00<006Ko0?ooo`3oool0o`3o oom/0?ooo`800?ooTP3oool001l0oooo00<000000?ooo`3oool0F03oool00`00I_l0oooo0?ooo`3o 0?ooofd0oooo00<00?oo0?ooo`3oool0S`3oool001l0oooo00<000000?ooo`3oool0F03oool00`00 I_l0oooo0?ooo`3o0?ooofh0oooo0P00oon?0?ooo`007`3oool00`000000oooo0?ooo`1H0?ooo`03 001Vo`3oool0oooo0?l0ooooL03oool2003oohd0oooo000O0?ooo`030000003oool0oooo05T0oooo 00<006Ko0?ooo`3oool0o`3oooma0?ooo`800?ooR`3oool001l0oooo0`00001I0?ooo`03001Vo`3o ool0oooo0?l0ooooL`3oool00`00ool0oooo0?ooo`280?ooo`007`3oool00`000000oooo0?ooo`1I 0?ooo`03001Vo`3oool0oooo0?l0ooooM03oool2003oohP0oooo000O0?ooo`030000003oool0oooo 05X0oooo00<006Ko0?ooo`3oool0o`3ooome0?ooo`800?ooQP3oool001l0oooo00<000000?ooo`3o ool0FP3oool00`00I_l0oooo0?ooo`3o0?ooogL0oooo00<00?oo0?ooo`3oool0P`3oool001l0oooo 00<000000?ooo`3oool0FP3oool00`00I_l0oooo0?ooo`3o0?ooogP0oooo0P00oon30?ooo`007`3o ool00`000000oooo0?ooo`1K0?ooo`03001Vo`3oool0oooo0?l0ooooN@3oool2003ooh40oooo000O 0?ooo`030000003oool0oooo05/0oooo00<006Ko0?ooo`3oool0o`3ooomk0?ooo`800?ooO`3oool0 00P0oooo00<0gia807Boo`3oool00P3oool00`3ookl0M0000018W0030?ooo`040=nLB00000000000 04RLg`P0oooo00<000000?ooo`3oool0F`3oool00`00I_l0oooo0?ooo`3o0?ooogd0oooo00<00?oo 0?ooo`3oool0O03oool000P0oooo00<0oono07Ad_`3oool01`3oool01P3ogi`0B4RL0?ooo`3oool0 W4Q809cOo`L0oooo00<000000?ooo`3oool0G03oool00`00I_l0oooo0?ooo`3o0?ooogd0oooo0P00 ooml0?ooo`002@3oool00`2oM7@0_ooo0?ooo`0:0?ooo`030;mdB02Lgol0oooo00H0oooo1@00001J 0?ooo`03001Vo`3oool0oooo0?l0ooooO`3oool2003oogX0oooo00090?ooo`030?noM018W=l0oooo 00L0oooo00@0_g@000000000000007Bo203oool00`000000oooo0?ooo`1L0?ooo`03001Vo`3oool0 oooo0?l0ooooP@3oool00`00ool0oooo0?ooo`1g0?ooo`001P3oool01@3ogi`0B7Bo0?ooo`3ookl0 M4RL00P0oooo00<0_gA809cOo`3oool02@3oool00`000000oooo0?ooo`1M0?ooo`03001Vo`3oool0 oooo0?l0ooooP@3oool2003oogL0oooo00060?ooo`060?oOW018000000000000000007@0_ooo1`3o ool0102oM000000000000000M;l80?ooo`030000003oool0oooo05d0oooo00<006Ko0?ooo`3oool0 o`3ooon30?ooo`800?ooM@3oool001l0oooo00<000000?ooo`3oool0G@3oool00`00I_l0oooo0?oo o`3o0?ooohD0oooo0P00oomc0?ooo`007`3oool00`000000oooo0?ooo`1M0?ooo`03001Vo`3oool0 oooo0?l0ooooQ`3oool00`00ool0oooo0?ooo`1`0?ooo`007`3oool00`000000oooo0?ooo`1N0?oo o`03001Vo`3oool0oooo0?l0ooooQ`3oool2003oog00oooo000O0?ooo`030000003oool0oooo05h0 oooo00<006Ko0?ooo`3oool0o`3ooon90?ooo`800?ooKP3oool001l0oooo00<000000?ooo`3oool0 GP3oool00`00I_l0oooo0?ooo`3o0?oooh/0oooo00<00?oo0?ooo`3oool0J`3oool001l0oooo0`00 001N0?ooo`03001Vo`3oool0oooo0?l0ooooS03oool2003oof/0oooo000O0?ooo`030000003oool0 oooo05l0oooo00<006Ko0?ooo`3oool0o`3ooon=0?ooo`800?ooJ@3oool001l0oooo00<000000?oo o`3oool0G`3oool00`00I_l0oooo0?ooo`3o0?ooohl0oooo0P00oomW0?ooo`007`3oool00`000000 oooo0?ooo`1O0?ooo`03001Vo`3oool0oooo0?l0ooooT@3oool00`00ool0oooo0?ooo`1T0?ooo`00 7`3oool00`000000oooo0?ooo`1O0?ooo`03001Vo`3oool0oooo0?l0ooooTP3oool2003oof@0oooo 000O0?ooo`030000003oool0oooo0600oooo00<006Ko0?ooo`3oool0o`3ooonC0?ooo`03003oo`3o ool0oooo0640oooo000O0?ooo`030000003oool0oooo0600oooo00<006Ko0?ooo`3oool0o`3ooonD 0?ooo`800?ooH@3oool001l0oooo00<000000?ooo`3oool0H03oool00`00I_l0oooo0?ooo`3o0?oo oiH0oooo00<00?oo0?ooo`3oool0GP3oool001l0oooo00<000000?ooo`3oool0H03oool00`00I_l0 oooo0?ooo`3o0?oooiL0oooo0P00oomN0?ooo`007`3oool300000640oooo00<006Ko0?ooo`3oool0 o`3ooonH0?ooo`03003oo`3oool0oooo05/0oooo000O0?ooo`030000003oool0oooo0640oooo00<0 06Ko0?ooo`3oool0o`3ooonI0?ooo`800?ooF`3oool001l0oooo00<000000?ooo`3oool0H@3oool0 0`00I_l0oooo0?ooo`3o0?oooi/0oooo00<00?oo0?ooo`3oool0F03oool001l0oooo00<000000?oo o`3oool0H@3oool00`00I_l0oooo0?ooo`3o0?oooi`0oooo00<00?oo0?ooo`3oool0E`3oool001l0 oooo00<000000?ooo`3oool0HP3oool00`00I_l0oooo0?ooo`3o0?oooi`0oooo0P00oomG0?ooo`00 7`3oool00`000000oooo0?ooo`1R0?ooo`03001Vo`3oool0oooo0?l0ooooWP3oool00`00ool0oooo 0?ooo`1D0?ooo`007`3oool00`000000oooo0?ooo`1R0?ooo`03001Vo`3oool0oooo0?l0ooooW`3o ool00`00ool0oooo0?ooo`1C0?ooo`007`3oool00`000000oooo0?ooo`1S0?ooo`03001Vo`3oool0 oooo0?l0ooooW`3oool2003ooe<0oooo000O0?ooo`030000003oool0oooo06<0oooo00<006Ko0?oo o`3oool0o`3ooonQ0?ooo`03003oo`3oool0oooo0500oooo000O0?ooo`<00000H`3oool00`00I_l0 oooo0?ooo`3o0?oooj80oooo00<00?oo0?ooo`3oool0C`3oool001l0oooo00<000000?ooo`3oool0 H`3oool00`00I_l0oooo0?ooo`3o0?oooj<0oooo0P00oom?0?ooo`007`3oool00`000000oooo0?oo o`1T0?ooo`03001Vo`3oool0oooo0?l0ooooY03oool00`00ool0oooo0?ooo`1<0?ooo`007`3oool0 0`000000oooo0?ooo`1T0?ooo`03001Vo`3oool0oooo0?l0ooooY@3oool00`00ool0oooo0?ooo`1; 0?ooo`007`3oool00`000000oooo0?ooo`1T0?ooo`03001Vo`3oool0oooo0?l0ooooYP3oool2003o od/0oooo000O0?ooo`030000003oool0oooo06@0oooo00<006Ko0?ooo`3oool0o`3ooonX0?ooo`03 003oo`3oool0oooo04P0oooo000O0?ooo`030000003oool0oooo06D0oooo00<006Ko0?ooo`3oool0 o`3ooonX0?ooo`03003oo`3oool0oooo04L0oooo000O0?ooo`030000003oool0oooo06D0oooo00<0 06Ko0?ooo`3oool0o`3ooonY0?ooo`800?ooA`3oool001l0oooo00<000000?ooo`3oool0I@3oool0 0`00I_l0oooo0?ooo`3o0?oooj/0oooo00<00?oo0?ooo`3oool0A03oool001l0oooo00<000000?oo o`3oool0I@3oool00`00I_l0oooo0?ooo`3o0?oooj`0oooo00<00?oo0?ooo`3oool0@`3oool001l0 oooo0`00001V0?ooo`03001Vo`3oool0oooo0?l0oooo[03oool2003ood<0oooo000O0?ooo`030000 003oool0oooo06H0oooo00<006Ko0?ooo`3oool0o`3ooon^0?ooo`03003oo`3oool0oooo0400oooo 000O0?ooo`030000003oool0oooo06H0oooo00<006Ko0?ooo`3oool0o`3ooon_0?ooo`03003oo`3o ool0oooo03l0oooo000O0?ooo`030000003oool0oooo06H0oooo00<006Ko0?ooo`3oool0o`3ooon` 0?ooo`800?oo?`3oool001l0oooo00<000000?ooo`3oool0I`3oool00`00I_l0oooo0?ooo`3o0?oo ok40oooo00<00?oo0?ooo`3oool0?03oool001l0oooo00<000000?ooo`3oool0I`3oool00`00I_l0 oooo0?ooo`3o0?oook80oooo00<00?oo0?ooo`3oool0>`3oool001l0oooo00<000000?ooo`3oool0 I`3oool00`00I_l0oooo0?ooo`3o0?oook<0oooo0P00oolk0?ooo`00303oool0203ookl0M0000000 00000000001809cOo`3oool0gia80P0000000`18W=l0oooo0?ooo`060?ooo`030000003oool0oooo 06L0oooo00<006Ko0?ooo`3oool0o`3ooone0?ooo`03003oo`3oool0oooo03P0oooo000>0?ooo`03 0?noM018W=l0oooo0080oooo00D0W7BL0?ooo`3oool0W4Qd0;ooo`070?ooo`030000003oool0oooo 06P0oooo00<006Ko0?ooo`3oool0o`3ooone0?ooo`03003oo`3oool0oooo03L0oooo000>0?ooo`06 0?noM018W=l0oooo0?ooo`3ookl0M4RL0P3oool00`2oM4P0W=oo0?ooo`060?ooo`D00000IP3oool0 0`00I_l0oooo0?ooo`3o0?oookH0oooo0P00oolg0?ooo`003P3oool01P3o_g@0B9cO0?ooo`3oool0 oono07A8W080oooo00<0_gA809cOo`3oool01P3oool00`000000oooo0?ooo`1X0?ooo`03001Vo`3o ool0oooo0?l0oooo^03oool00`00ool0oooo0?ooo`0d0?ooo`003@3oool00`2LB7@0_kmd04RLg`03 0?ooo`0509a8B02Lgol0oono07@0M02oool01`3oool00`000000oooo0?ooo`1X0?ooo`03001Vo`3o ool0oooo0?l0oooo^@3oool00`00ool0oooo0?ooo`0c0?ooo`003@3oool00`3o_g@0000004RLg`03 0?ooo`040?oOW0180000000007Boo`P0oooo00<000000?ooo`3oool0J@3oool00`00I_l0oooo0?oo o`3o0?oookT0oooo00<00?oo0?ooo`3oool00?ooo`030?noM018W=l0oooo00D0oooo00<0 _gA809cOo`3oool01P3oool5000007L0oooo00<006Ko0?ooo`3oool0o`3ooooN0?ooo`003P3oool0 0`3o_g@0B9cO0?ooo`020?ooo`040;md000000000000001d_`P0oooo00<000000?ooo`3oool0N@3o ool00`00I_l0oooo0?ooo`3o0?ooomh0oooo000=0?ooo`0309a8M02o_g@0B9cO00<0oooo00<0_gA8 09cOo`3oool02@3oool00`000000oooo0?ooo`1i0?ooo`03001Vo`3oool0oooo0?l0oooogP3oool0 00d0oooo00<0okmd00000018W=l00`3oool0102oM000000000000000M;l80?ooo`030000003oool0 oooo07T0oooo00<006Ko0?ooo`3oool0o`3ooooN0?ooo`007`3oool00`000000oooo0?ooo`1i0?oo o`03001Vo`3oool0oooo0?l0oooogP3oool001l0oooo00<000000?ooo`3oool0N@3oool00`00I_l0 oooo0?ooo`3o0?ooomh0oooo000O0?ooo`030000003oool0oooo07T0oooo00<006Ko0?ooo`3oool0 o`3ooooN0?ooo`007`3oool00`000000oooo0?ooo`1j0?ooo`03001Vo`3oool0oooo0?l0oooog@3o ool001l0oooo00<000000?ooo`3oool0NP3oool00`00I_l0oooo0?ooo`3o0?ooomd0oooo000O0?oo o`<00000NP3oool00`00I_l0oooo0?ooo`3o0?ooomd0oooo000O0?ooo`030000003oool0oooo07X0 oooo00<006Ko0?ooo`3oool0o`3ooooM0?ooo`007`3oool00`000000oooo0?ooo`1j0?ooo`03001V o`3oool0oooo0?l0oooog@3oool001l0oooo00<000000?ooo`3oool0NP3oool00`00I_l0oooo0?oo o`3o0?ooomd0oooo000O0?ooo`030000003oool0oooo07X0oooo00<006Ko0?ooo`3oool0o`3ooooM 0?ooo`007`3oool00`000000oooo0?ooo`1k0?ooo`03001Vo`3oool0oooo0?l0oooog03oool001l0 oooo00<000000?ooo`3oool0N`3oool00`00I_l0oooo0?ooo`3o0?ooom`0oooo000O0?ooo`030000 003oool0oooo07/0oooo00<006Ko0?ooo`3oool0o`3ooooL0?ooo`007`3oool00`000000oooo0?oo o`1k0?ooo`03001Vo`3oool0oooo0?l0oooog03oool001l0oooo0`00001k0?ooo`03001Vo`3oool0 oooo0?l0oooog03oool001l0oooo00<000000?ooo`3oool0N`3oool00`00I_l0oooo0?ooo`3o0?oo om`0oooo000O0?ooo`030000003oool0oooo07/0oooo00<006Ko0?ooo`3oool0o`3ooooL0?ooo`00 7`3oool00`000000oooo0?ooo`1l0?ooo`03001Vo`3oool0oooo0?l0oooof`3oool001l0oooo00<0 00000?ooo`3oool0O03oool00`00I_l0oooo0?ooo`3o0?ooom/0oooo000O0?ooo`030000003oool0 oooo07`0oooo00<006Ko0?ooo`3oool0o`3ooooK0?ooo`007`3oool00`000000oooo0?ooo`1l0?oo o`03001Vo`3oool0oooo0?l0oooof`3oool001l0oooo00<000000?ooo`3oool0O03oool00`00I_l0 oooo0?ooo`3o0?ooom/0oooo000O0?ooo`030000003oool0oooo07`0oooo00<006Ko0?ooo`3oool0 o`3ooooK0?ooo`007`3oool00`000000oooo0?ooo`1l0?ooo`03001Vo`3oool0oooo0?l0oooof`3o ool001l0oooo0`00001m0?ooo`03001Vo`3oool0oooo0?l0oooofP3oool001l0oooo00<000000?oo o`3oool0O@3oool00`00I_l0oooo0?ooo`3o0?ooomX0oooo000O0?ooo`030000003oool0oooo07d0 oooo00<006Ko0?ooo`3oool0o`3ooooJ0?ooo`007`3oool00`000000oooo0?ooo`1m0?ooo`03001V o`3oool0oooo0?l0oooofP3oool001l0oooo00<000000?ooo`3oool0O@3oool00`00I_l0oooo0?oo o`3o0?ooomX0oooo000O0?ooo`030000003oool0oooo07d0oooo00<006Ko0?ooo`3oool0o`3ooooJ 0?ooo`007`3oool00`000000oooo0?ooo`1n0?ooo`03001Vo`3oool0oooo0?l0oooof@3oool001l0 oooo00<000000?ooo`3oool0OP3oool00`00I_l0oooo0?ooo`3o0?ooomT0oooo000O0?ooo`030000 003oool0oooo07h0oooo00<006Ko0?ooo`3oool0o`3ooooI0?ooo`007`3oool3000007h0oooo00<0 06Ko0?ooo`3oool0o`3ooooI0?ooo`007`3oool00`000000oooo0?ooo`1n0?ooo`03001Vo`3oool0 oooo0?l0oooof@3oool001l0oooo00<000000?ooo`3oool0OP3oool00`00I_l0oooo0?ooo`3o0?oo omT0oooo000O0?ooo`030000003oool0oooo07h0oooo00<006Ko0?ooo`3oool0o`3ooooI0?ooo`00 7`3oool00`000000oooo0?ooo`1o0?ooo`03001Vo`3oool0oooo0?l0oooof03oool001l0oooo00<0 00000?ooo`3oool0O`3oool00`00I_l0oooo0?ooo`3o0?ooomP0oooo000O0?ooo`030000003oool0 oooo07l0oooo00<006Ko0?ooo`3oool0o`3ooooH0?ooo`0000H0oono07@00000000000000000B02L gol20?ooo`030=nLB01d_ol0oooo0080oooo00<0oono07@00000B9`00`3oool0103OW4P000000000 0018W=l80?ooo`030000003oool0oooo07l0oooo00<006Ko0?ooo`3oool0o`3ooooH0?ooo`000P3o ool00`3o_g@0B9cO0?ooo`030?ooo`030?oo_`1dM;l0oooo00L0oooo00H0omnL04Q8W03oool0oooo 09a8B02Lgol70?ooo`030000003oool0oooo07l0oooo00<006Ko0?ooo`3oool0o`3ooooH0?ooo`00 0P3oool00`3o_g@0B9cO0?ooo`040?ooo`030;mdM02oool0oooo00X0oooo00<0_gA809cOo`3oool0 1P3oool5000007d0oooo00<006Ko0?ooo`3oool0o`3ooooH0?ooo`000P3oool00`3o_g@0B9cO0?oo o`040?ooo`030?noM018W=l0oooo00L0oooo00@0_g@000000000000007Bo203oool00`000000oooo 0?ooo`1o0?ooo`03001Vo`3oool0oooo0?l0oooof03oool000040?ooo`2LB7@0_kmd04RLg`80oooo 00D0omnL04Qd_`3oool0oono07A8W0080?ooo`030;mdB02Lgol0oooo00T0oooo00<000000?ooo`3o ool0P03oool00`00I_l0oooo0?ooo`3o0?ooomL0oooo0000103oool0okmd00000018W=l20?ooo`06 0?oOW018000000000000000007@0_ooo1`3oool0102oM000000000000000M;l80?ooo`030000003o ool0oooo0800oooo00<006Ko0?ooo`3oool0o`3ooooG0?ooo`007`3oool00`000000oooo0?ooo`20 0?ooo`03001Vo`3oool0oooo0?l0ooooe`3oool001l0oooo00<000000?ooo`3oool0P03oool00`00 I_l0oooo0?ooo`3o0?ooomL0oooo000O0?ooo`030000003oool0oooo0800oooo00<006Ko0?ooo`3o ool0o`3ooooG0?ooo`007`3oool00`000000oooo0?ooo`200?ooo`03001Vo`3oool0oooo0?l0oooo e`3oool001l0oooo00<000000?ooo`3oool0P03oool00`00I_l0oooo0?ooo`3o0?ooomL0oooo000O 0?ooo`<00000P03oool00`00I_l0oooo0?ooo`3o0?ooomL0oooo000O0?ooo`030000003oool0oooo 0840oooo00<006Ko0?ooo`3oool0o`3ooooF0?ooo`007`3oool00`000000oooo0?ooo`210?ooo`03 001Vo`3oool0oooo0?l0ooooeP3oool001l0oooo00<000000?ooo`3oool0P@3oool00`00I_l0oooo 0?ooo`3o0?ooomH0oooo000O0?ooo`030000003oool0oooo0840oooo00<006Ko0?ooo`3oool0o`3o oooF0?ooo`007`3oool00`000000oooo0?ooo`210?ooo`03001Vo`3oool0oooo0?l0ooooeP3oool0 01l0oooo00<000000?ooo`3oool0P@3oool00`00I_l0oooo0?ooo`3o0?ooomH0oooo000O0?ooo`03 0000003oool0oooo0840oooo00<006Ko0?ooo`3oool0o`3ooooF0?ooo`007`3oool00`000000oooo 0?ooo`210?ooo`03001Vo`3oool0oooo0?l0ooooeP3oool001l0oooo00<000000?ooo`3oool0PP3o ool00`00I_l0oooo0?ooo`3o0?ooomD0oooo000O0?ooo`<00000PP3oool00`00I_l0oooo0?ooo`3o 0?ooomD0oooo000O0?ooo`030000003oool0oooo0880oooo00<006Ko0?ooo`3oool0o`3ooooE0?oo o`007`3oool00`000000oooo0?ooo`220?ooo`03001Vo`3oool0oooo0?l0ooooe@3oool001l0oooo 00<000000?ooo`3oool0PP3oool00`00I_l0oooo0?ooo`3o0?ooomD0oooo000O0?ooo`030000003o ool0oooo0880oooo00<006Ko0?ooo`3oool0o`3ooooE0?ooo`007`3oool00`000000oooo0?ooo`22 0?ooo`03001Vo`3oool0oooo0?l0ooooe@3oool001l0oooo00<000000?ooo`3oool0PP3oool00`00 I_l0oooo0?ooo`3o0?ooomD0oooo000O0?ooo`030000003oool0oooo08<0oooo00<006Ko0?ooo`3o ool0o`3ooooD0?ooo`007`3oool00`000000oooo0?ooo`230?ooo`03001Vo`3oool0oooo0?l0oooo e03oool001l0oooo0`0000230?ooo`03001Vo`3oool0oooo0?l0ooooe03oool001l0oooo00<00000 0?ooo`3oool0P`3oool00`00I_l0oooo0?ooo`3o0?ooom@0oooo000O0?ooo`030000003oool0oooo 08<0oooo00<006Ko0?ooo`3oool0o`3ooooD0?ooo`007`3oool00`000000oooo0?ooo`230?ooo`03 001Vo`3oool0oooo0?l0ooooe03oool001l0oooo00<000000?ooo`3oool0P`3oool00`00I_l0oooo 0?ooo`3o0?ooom@0oooo000O0?ooo`030000003oool0oooo08<0oooo00<006Ko0?ooo`3oool0o`3o oooD0?ooo`007`3oool00`000000oooo0?ooo`240?ooo`03001Vo`3oool0oooo0?l0ooood`3oool0 01l0oooo00<000000?ooo`3oool0Q03oool00`00I_l0oooo0?ooo`3o0?ooom<0oooo000O0?ooo`03 0000003oool0oooo08@0oooo00<006Ko0?ooo`3oool0o`3ooooC0?ooo`007`3oool3000008@0oooo 00<006Ko0?ooo`3oool0o`3ooooC0?ooo`007`3oool00`000000oooo0?ooo`240?ooo`03001Vo`3o ool0oooo0?l0ooood`3oool001l0oooo00<000000?ooo`3oool0Q03oool00`00I_l0oooo0?ooo`3o 0?ooom<0oooo000O0?ooo`030000003oool0oooo08@0oooo00<006Ko0?ooo`3oool0o`3ooooC0?oo o`007`3oool00`000000oooo0?ooo`240?ooo`03001Vo`3oool0oooo0?l0ooood`3oool001l0oooo 00<000000?ooo`3oool0Q@3oool00`00I_l0oooo0?ooo`3o0?ooom80oooo000O0?ooo`030000003o ool0oooo08D0oooo00<006Ko0?ooo`3oool0o`3ooooB0?ooo`00303oool0203o_g@0000000000000 0000001d0;ooo`3oool0gia80P0000000`18W=l0oooo0?ooo`060?ooo`030000003oool0oooo08D0 oooo00<006Ko0?ooo`3oool0o`3ooooB0?ooo`003@3oool00`2LB000001d0;ooo`030?ooo`0509ad W03oool0oooo09a8M02oool01`3oool00`000000oooo0?ooo`250?ooo`03001Vo`3oool0oooo0?l0 oooodP3oool000h0oooo00H0okmd0000001d_ol0oooo0?oo_`1dB9`20?ooo`030;mdB02Lgol0oooo 00H0oooo1@0000230?ooo`03001Vo`3oool0oooo0?l0oooodP3oool000l0oooo00D0oono0;noo`3o ool0oono07A8W0020?ooo`030;mdB02Lgol0oooo0?l0ooooo`3ooomT0?ooo`00303oool0303ogi`0 B4RL0?ooo`3ookl0M01d0;ooo`3oool0W4Q809cOo`3ookl0M01d0;ooool0ooooo`3ooomU0?ooo`00 3@3oool0103OW4P0000000000018W=l20?ooo`040?oOW0180000000007Boool0ooooo`3ooomV0?oo o`00o`3ooooo0?ooogd0oooo003o0?ooool0ooooO@3oool00001\ \>"], ImageRangeCache->{{{0, 634}, {391.313, 0}} -> {-2.63686, -0.938247, \ 0.0838171, 0.0542475}}], Cell[BoxData[{ \(\(PlotExp21r\ = \ ListPlot[ exp21[\([3]\)], \ {PlotRange \[Rule] {{0, \ 50}, \ {0, \ 20}}, PlotJoined \[Rule] True, PlotStyle \[Rule] Hue[0.1]}];\)\), "\[IndentingNewLine]", \(\(PlotExp22r\ = \ ListPlot[ exp22[\([3]\)], \ {PlotRange \[Rule] {{0, \ 50}, \ {0, \ 20}}, PlotJoined \[Rule] True, PlotStyle \[Rule] Hue[0.2]}];\)\), "\[IndentingNewLine]", \(\(PlotExp23r\ = \ ListPlot[ exp23[\([3]\)], \ {PlotRange \[Rule] {{0, \ 50}, \ {0, \ 20}}, PlotJoined \[Rule] True, PlotStyle \[Rule] Hue[0.3]}];\)\), "\[IndentingNewLine]", \(\(PlotExp24r\ = \ ListPlot[ exp24[\([3]\)], \ {PlotRange \[Rule] {{0, \ 50}, \ {0, \ 20}}, PlotJoined \[Rule] True, PlotStyle \[Rule] Hue[0.4]}];\)\), "\[IndentingNewLine]", \(\(PlotExp25r\ = \ ListPlot[ exp25[\([3]\)], \ {PlotRange \[Rule] {{0, \ 50}, \ {0, \ 20}}, PlotJoined \[Rule] True, PlotStyle \[Rule] Hue[0.5]}];\)\), "\[IndentingNewLine]", \(\(PlotExp26r\ = \ ListPlot[ exp26[\([3]\)], \ {PlotRange \[Rule] {{0, \ 50}, \ {0, \ 20}}, PlotJoined \[Rule] True, PlotStyle \[Rule] Hue[0.6]}];\)\), "\[IndentingNewLine]", \(Show[{PlotExp21r, \ PlotExp22r, \ PlotExp23r, \ PlotExp24r, \ PlotExp25r, \ PlotExp26r}]\)}], "Input"], Cell["\<\ The Jacobi method's residuals seem to follow a pattern very much like the \ errors. (Redder colors correspond to larger alpha). Shown below is residual \ norms versus iteration.\ \>", "Text"], Cell[GraphicsData["PostScript", "\<\ %! %%Creator: Mathematica %%AspectRatio: .61803 MathPictureStart /Mabs { Mgmatrix idtransform Mtmatrix dtransform } bind def /Mabsadd { Mabs 3 -1 roll add 3 1 roll add exch } bind def %% Graphics %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10 scalefont setfont % Scaling calculations -1.04083e-017 0.02 0 0.0309017 [ [.2 -0.0125 -6 -9 ] [.2 -0.0125 6 0 ] [.4 -0.0125 -6 -9 ] [.4 -0.0125 6 0 ] [.6 -0.0125 -6 -9 ] [.6 -0.0125 6 0 ] [.8 -0.0125 -6 -9 ] [.8 -0.0125 6 0 ] [1 -0.0125 -6 -9 ] [1 -0.0125 6 0 ] [-0.0125 .07725 -18 -4.5 ] [-0.0125 .07725 0 4.5 ] [-0.0125 .15451 -6 -4.5 ] [-0.0125 .15451 0 4.5 ] [-0.0125 .23176 -18 -4.5 ] [-0.0125 .23176 0 4.5 ] [-0.0125 .30902 -12 -4.5 ] [-0.0125 .30902 0 4.5 ] [-0.0125 .38627 -24 -4.5 ] [-0.0125 .38627 0 4.5 ] [-0.0125 .46353 -12 -4.5 ] [-0.0125 .46353 0 4.5 ] [-0.0125 .54078 -24 -4.5 ] [-0.0125 .54078 0 4.5 ] [-0.0125 .61803 -12 -4.5 ] [-0.0125 .61803 0 4.5 ] [ 0 0 0 0 ] [ 1 .61803 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath 0 g .25 Mabswid [ ] 0 setdash .2 0 m .2 .00625 L s [(10)] .2 -0.0125 0 1 Mshowa .4 0 m .4 .00625 L s [(20)] .4 -0.0125 0 1 Mshowa .6 0 m .6 .00625 L s [(30)] .6 -0.0125 0 1 Mshowa .8 0 m .8 .00625 L s [(40)] .8 -0.0125 0 1 Mshowa 1 0 m 1 .00625 L s [(50)] 1 -0.0125 0 1 Mshowa .125 Mabswid .04 0 m .04 .00375 L s .08 0 m .08 .00375 L s .12 0 m .12 .00375 L s .16 0 m .16 .00375 L s .24 0 m .24 .00375 L s .28 0 m .28 .00375 L s .32 0 m .32 .00375 L s .36 0 m .36 .00375 L s .44 0 m .44 .00375 L s .48 0 m .48 .00375 L s .52 0 m .52 .00375 L s .56 0 m .56 .00375 L s .64 0 m .64 .00375 L s .68 0 m .68 .00375 L s .72 0 m .72 .00375 L s .76 0 m .76 .00375 L s .84 0 m .84 .00375 L s .88 0 m .88 .00375 L s .92 0 m .92 .00375 L s .96 0 m .96 .00375 L s .25 Mabswid 0 0 m 1 0 L s 0 .07725 m .00625 .07725 L s [(2.5)] -0.0125 .07725 1 0 Mshowa 0 .15451 m .00625 .15451 L s [(5)] -0.0125 .15451 1 0 Mshowa 0 .23176 m .00625 .23176 L s [(7.5)] -0.0125 .23176 1 0 Mshowa 0 .30902 m .00625 .30902 L s [(10)] -0.0125 .30902 1 0 Mshowa 0 .38627 m .00625 .38627 L s [(12.5)] -0.0125 .38627 1 0 Mshowa 0 .46353 m .00625 .46353 L s [(15)] -0.0125 .46353 1 0 Mshowa 0 .54078 m .00625 .54078 L s [(17.5)] -0.0125 .54078 1 0 Mshowa 0 .61803 m .00625 .61803 L s [(20)] -0.0125 .61803 1 0 Mshowa .125 Mabswid 0 .01545 m .00375 .01545 L s 0 .0309 m .00375 .0309 L s 0 .04635 m .00375 .04635 L s 0 .0618 m .00375 .0618 L s 0 .09271 m .00375 .09271 L s 0 .10816 m .00375 .10816 L s 0 .12361 m .00375 .12361 L s 0 .13906 m .00375 .13906 L s 0 .16996 m .00375 .16996 L s 0 .18541 m .00375 .18541 L s 0 .20086 m .00375 .20086 L s 0 .21631 m .00375 .21631 L s 0 .24721 m .00375 .24721 L s 0 .26266 m .00375 .26266 L s 0 .27812 m .00375 .27812 L s 0 .29357 m .00375 .29357 L s 0 .32447 m .00375 .32447 L s 0 .33992 m .00375 .33992 L s 0 .35537 m .00375 .35537 L s 0 .37082 m .00375 .37082 L s 0 .40172 m .00375 .40172 L s 0 .41717 m .00375 .41717 L s 0 .43262 m .00375 .43262 L s 0 .44807 m .00375 .44807 L s 0 .47898 m .00375 .47898 L s 0 .49443 m .00375 .49443 L s 0 .50988 m .00375 .50988 L s 0 .52533 m .00375 .52533 L s 0 .55623 m .00375 .55623 L s 0 .57168 m .00375 .57168 L s 0 .58713 m .00375 .58713 L s 0 .60258 m .00375 .60258 L s .25 Mabswid 0 0 m 0 .61803 L s 0 0 m 1 0 L 1 .61803 L 0 .61803 L closepath clip newpath 1 .6 0 r .5 Mabswid .02 .0309 m .04 .0206 L .06 .01717 L .08 .0103 L .1 .00916 L .12 .00521 L .14 .00479 L .16 .00264 L .18 .00248 L .2 .00134 L .22 .00127 L .24 .00068 L .26 .00065 L .28 .00034 L .3 .00033 L .32 .00017 L .34 .00017 L .36 9e-005 L .38 8e-005 L .4 4e-005 L .42 4e-005 L .44 2e-005 L .46 2e-005 L .48 1e-005 L .5 1e-005 L .52 1e-005 L .54 1e-005 L .56 0 L .58 0 L .6 0 L .62 0 L .64 0 L .66 0 L .68 0 L .7 0 L .72 0 L .74 0 L .76 0 L .78 0 L .8 0 L .82 0 L .84 0 L .86 0 L .88 0 L .9 0 L .92 0 L .94 0 L .96 0 L .98 0 L 1 0 L Mistroke Mfstroke 1 0 m 1 0 L s .8 1 0 r .02 0 m .04 0 L .06 0 L .08 0 L .1 0 L .12 0 L .14 0 L .16 0 L .18 0 L .2 0 L .22 0 L .24 0 L .26 0 L .28 0 L .3 0 L .32 0 L .34 0 L .36 0 L .38 0 L .4 0 L .42 0 L .44 0 L .46 0 L .48 0 L .5 0 L .52 0 L .54 0 L .56 0 L .58 0 L .6 0 L .62 0 L .64 0 L .66 0 L .68 0 L .7 0 L .72 0 L .74 0 L .76 0 L .78 0 L .8 0 L .82 0 L .84 0 L .86 0 L .88 0 L .9 0 L .92 0 L .94 0 L .96 0 L .98 0 L 1 0 L Mistroke Mfstroke .2 1 0 r .02 .00031 m .04 .00031 L .06 .00031 L .08 .00031 L .1 .00032 L .12 .00032 L .14 .00032 L .16 .00032 L .18 .00032 L .2 .00032 L .22 .00032 L .24 .00033 L .26 .00033 L .28 .00033 L .3 .00033 L .32 .00033 L .34 .00033 L .36 .00034 L .38 .00034 L .4 .00034 L .42 .00034 L .44 .00034 L .46 .00035 L .48 .00035 L .5 .00035 L .52 .00035 L .54 .00035 L .56 .00035 L .58 .00036 L .6 .00036 L .62 .00036 L .64 .00036 L .66 .00036 L .68 .00036 L .7 .00037 L .72 .00037 L .74 .00037 L .76 .00037 L .78 .00037 L .8 .00038 L .82 .00038 L .84 .00038 L .86 .00038 L .88 .00038 L .9 .00039 L .92 .00039 L .94 .00039 L .96 .00039 L .98 .00039 L 1 .0004 L Mistroke Mfstroke 1 .0004 m 1 .0004 L s 0 1 .4 r .02 .00155 m .04 .00158 L .06 .00163 L .08 .00167 L .1 .00171 L .12 .00175 L .14 .0018 L .16 .00184 L .18 .00189 L .2 .00194 L .22 .00199 L .24 .00204 L .26 .00209 L .28 .00215 L .3 .0022 L .32 .00226 L .34 .00232 L .36 .00238 L .38 .00244 L .4 .0025 L .42 .00256 L .44 .00263 L .46 .0027 L .48 .00277 L .5 .00284 L .52 .00291 L .54 .00298 L .56 .00306 L .58 .00314 L .6 .00322 L .62 .0033 L .64 .00339 L .66 .00347 L .68 .00356 L .7 .00365 L .72 .00375 L .74 .00384 L .76 .00394 L .78 .00404 L .8 .00415 L .82 .00425 L .84 .00436 L .86 .00447 L .88 .00459 L .9 .00471 L .92 .00483 L .94 .00495 L .96 .00508 L .98 .00521 L 1 .00534 L Mistroke Mfstroke 1 .00534 m 1 .00534 L s 0 1 1 r .02 .00309 m .04 .00325 L .06 .00342 L .08 .0036 L .1 .00379 L .12 .00399 L .14 .0042 L .16 .00443 L .18 .00466 L .2 .0049 L .22 .00516 L .24 .00543 L .26 .00572 L .28 .00602 L .3 .00634 L .32 .00667 L .34 .00702 L .36 .00739 L .38 .00778 L .4 .00819 L .42 .00862 L .44 .00907 L .46 .00955 L .48 .01005 L .5 .01058 L .52 .01114 L .54 .01173 L .56 .01234 L .58 .01299 L .6 .01368 L .62 .0144 L .64 .01515 L .66 .01595 L .68 .01679 L .7 .01768 L .72 .01861 L .74 .01959 L .76 .02062 L .78 .0217 L .8 .02284 L .82 .02405 L .84 .02531 L .86 .02664 L .88 .02805 L .9 .02952 L .92 .03108 L .94 .03271 L .96 .03443 L .98 .03625 L 1 .03815 L Mistroke Mfstroke 1 .03815 m 1 .03815 L s 0 .4 1 r .02 .01545 m .04 .0206 L .06 .02747 L .08 .03662 L .1 .04883 L .12 .06511 L .14 .08681 L .16 .11575 L .18 .15433 L .2 .20578 L .22 .27437 L .24 .36583 L .26 .48777 L s .26 .48777 m .27602 .61803 L s % End of Graphics MathPictureEnd \ \>"], "Graphics", ImageSize->{653, 403.25}, ImageMargins->{{43, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, ImageCache->GraphicsData["Bitmap", "\<\ CF5dJ6E]HGAYHf4PAg9QL6QYHg0?ooo`00 7`3oool00`000000oooo0?ooo`0]0?ooo`P0oiT0j@3ooolU003oool0oooo:@3oool001l0oooo00<0 00000?ooo`3oool0:P3oool30?nI0?l0oooo5`3ooolH003oool0oooo4@3oool001l0oooo00<00000 0?ooo`3oool09`3oool30?nI0?l0ooooP3oool001l0oooo00<000000?ooo`3oool0<`3oool00`00I_l0 oooo0?ooo`3o0?ooool0oooo=`3oool001l0oooo00<000000?ooo`3oool0=03oool2001Vool0oooo o`3ooolg0?ooo`007`3oool00`000000oooo0?ooo`0f0?ooo`03001Vo`3oool0oooo0?l0ooooo`3o oold0?ooo`007`3oool3000003L0oooo0P00I_oo0?ooool0oooo=03oool001l0oooo00<000000?oo o`3oool0>@3oool2001Vool0ooooo`3ooolb0?ooo`007`3oool00`000000oooo0?ooo`0k0?ooo`03 001Vo`3oool0oooo0?l0ooooo`3oool_0?ooo`007`3oool00`000000oooo0?ooo`0l0?ooo`03001V o`3oool0oooo0?l0ooooo`3oool^0?ooo`007`3oool00`000000oooo0?ooo`0m0?ooo`03001Vo`3o ool0oooo0?l0ooooo`3oool]0?ooo`007`3oool00`000000oooo0?ooo`0n0?ooo`8006Koo`3ooooo 0?ooobd0oooo000O0?ooo`030000003oool0oooo0400oooo00<006Ko0?ooo`3oool0o`3ooooo0?oo obX0oooo000O0?ooo`030000003oool0oooo0440oooo00<006Ko0?ooo`3oool0o`3ooooo0?ooobT0 oooo000O0?ooo`030000003oool0oooo0480oooo00<006Ko0?ooo`3oool0o`3ooooo0?ooobP0oooo 000O0?ooo`030000003oool0oooo04<0oooo00<006Ko0?ooo`3oool0o`3ooooo0?ooobL0oooo000O 0?ooo`<00000A03oool2001Vool0ooooo`3ooolW0?ooo`007`3oool00`000000oooo0?ooo`160?oo o`03001Vo`3oool0oooo0?l0ooooo`3ooolT0?ooo`007`3oool00`000000oooo0?ooo`170?ooo`03 001Vo`3oool0oooo0?l0ooooo`3ooolS0?ooo`007`3oool00`000000oooo0?ooo`180?ooo`03001V o`3oool0oooo0?l0ooooo`3ooolR0?ooo`007`3oool00`000000oooo0?ooo`190?ooo`03001Vo`3o ool0oooo0?l0ooooo`3ooolQ0?ooo`007`3oool00`000000oooo0?ooo`1:0?ooo`03001Vo`3oool0 oooo0?l0ooooo`3ooolP0?ooo`007`3oool00`000000oooo0?ooo`1;0?ooo`03001Vo`3oool0oooo 0?l0ooooo`3ooolO0?ooo`001P3oool02P3o_g@00000000000000000001d0;ooo`3oool0oono07@0 0000B9`30?ooo`040=nLB0000000000004RLg`P0oooo00<000000?ooo`3oool0C03oool00`00I_l0 oooo0?ooo`3o0?ooool0oooo7P3oool000L0oooo00<0W4P00000M02oool0203oool01P3ogi`0B4RL 0?ooo`3oool0W4Q809cOo`L0oooo00<000000?ooo`3oool0C@3oool00`00I_l0oooo0?ooo`3o0?oo ool0oooo7@3oool000P0oooo00<0okmd0000001d_ol02`3oool00`2oM4P0W=oo0?ooo`060?ooo`D0 0000B`3oool00`00I_l0oooo0?ooo`3o0?ooool0oooo7@3oool000T0oooo00<0oono0;noo`3oool0 1`3oool0102oM000000000000000M;l80?ooo`030000003oool0oooo04h0oooo00<006Ko0?ooo`3o ool0o`3ooooo0?oooa`0oooo00060?ooo`060?oOW018B9`0oooo0?oo_`1d07@0_ooo1`3oool00`2o M4P0W=oo0?ooo`090?ooo`030000003oool0oooo04l0oooo00<006Ko0?ooo`3oool0o`3ooooo0?oo oa/0oooo00070?ooo`040=nLB0000000000004RLg`P0oooo00@0_g@000000000000007Bo203oool0 0`000000oooo0?ooo`1@0?ooo`03001Vo`3oool0oooo0?l0ooooo`3ooolJ0?ooo`007`3oool00`00 0000oooo0?ooo`1A0?ooo`03001Vo`3oool0oooo0?l0ooooo`3ooolI0?ooo`007`3oool00`000000 oooo0?ooo`1B0?ooo`03001Vo`3oool0oooo0?l0ooooo`3ooolH0?ooo`007`3oool00`000000oooo 0?ooo`1C0?ooo`03001Vo`3oool0oooo0?l0ooooo`3ooolG0?ooo`007`3oool00`000000oooo0?oo o`1D0?ooo`03001Vo`3oool0oooo0?l0ooooo`3ooolF0?ooo`007`3oool00`000000oooo0?ooo`1D 0?ooo`03001Vo`3oool0oooo0?l0ooooo`3ooolF0?ooo`007`3oool00`000000oooo0?ooo`1E0?oo o`03001Vo`3oool0oooo0?l0ooooo`3ooolE0?ooo`007`3oool3000005H0oooo00<006Ko0?ooo`3o ool0o`3ooooo0?oooa@0oooo000O0?ooo`030000003oool0oooo05H0oooo00<006Ko0?ooo`3oool0 o`3ooooo0?oooa@0oooo000O0?ooo`030000003oool0oooo05L0oooo00<006Ko0?ooo`3oool0o`3o oooo0?oooa<0oooo000O0?ooo`030000003oool0oooo05P0oooo00<006Ko0?ooo`3oool0o`3ooooo 0?oooa80oooo000O0?ooo`030000003oool0oooo05P0oooo00<006Ko0?ooo`3oool0o`3ooooo0?oo oa80oooo000O0?ooo`030000003oool0oooo05T0oooo00<006Ko0?ooo`3oool0o`3ooooo0?oooa40 oooo000O0?ooo`030000003oool0oooo05X0oooo00<006Ko0?ooo`3oool0o`3ooooo0?oooa00oooo 000O0?ooo`030000003oool0oooo05X0oooo00<006Ko0?ooo`3oool0o`3ooooo0?oooa00oooo000O 0?ooo`030000003oool0oooo05/0oooo00<006Ko0?ooo`3oool0o`3ooooo0?ooo`l0oooo000O0?oo o`<00000G03oool00`00I_l0oooo0?ooo`3o0?ooool0oooo3P3oool001l0oooo00<000000?ooo`3o ool0G03oool00`00I_l0oooo0?ooo`3o0?ooool0oooo3P3oool001l0oooo00<000000?ooo`3oool0 G@3oool00`00I_l0oooo0?ooo`3o0?ooool0oooo3@3oool001l0oooo00<000000?ooo`3oool0GP3o ool00`00I_l0oooo0?ooo`3o0?ooool0oooo303oool001l0oooo00<000000?ooo`3oool0GP3oool0 0`00I_l0oooo0?ooo`3o0?ooool0oooo303oool001l0oooo00<000000?ooo`3oool0G`3oool00`00 I_l0oooo0?ooo`3o0?ooool0oooo2`3oool001l0oooo00<000000?ooo`3oool0H03oool00`00I_l0 oooo0?ooo`3o0?ooool0oooo2P3oool001l0oooo00<000000?ooo`3oool0H03oool00`00I_l0oooo 0?ooo`3o0?ooool0oooo2P3oool001l0oooo00<000000?ooo`3oool0H@3oool00`00I_l0oooo0?oo o`3o0?ooool0oooo2@3oool001l0oooo00<000000?ooo`3oool0H@3oool00`00I_l0oooo0?ooo`3o 0?ooool0oooo2@3oool001l0oooo0`00001R0?ooo`03001Vo`3oool0oooo0?l0ooooo`3oool80?oo o`007`3oool00`000000oooo0?ooo`1R0?ooo`03001Vo`3oool0oooo0?l0ooooo`3oool80?ooo`00 7`3oool00`000000oooo0?ooo`1S0?ooo`03001Vo`3oool0oooo0?l0ooooo`3oool70?ooo`007`3o ool00`000000oooo0?ooo`1T0?ooo`03001Vo`3oool0oooo0?l0ooooo`3oool60?ooo`007`3oool0 0`000000oooo0?ooo`1T0?ooo`03001Vo`3oool0oooo0?l0ooooo`3oool60?ooo`007`3oool00`00 0000oooo0?ooo`1U0?ooo`03001Vo`3oool0oooo0?l0ooooo`3oool50?ooo`007`3oool00`000000 oooo0?ooo`1U0?ooo`03001Vo`3oool0oooo0?l0ooooo`3oool50?ooo`007`3oool00`000000oooo 0?ooo`1V0?ooo`03001Vo`3oool0oooo0?l0ooooo`3oool40?ooo`007`3oool00`000000oooo0?oo o`1V0?ooo`03001Vo`3oool0oooo0?l0ooooo`3oool40?ooo`007`3oool3000006L0oooo00<006Ko 0?ooo`3oool0o`3ooooo0?ooo`<0oooo000O0?ooo`030000003oool0oooo06L0oooo00<006Ko0?oo o`3oool0o`3ooooo0?ooo`<0oooo000O0?ooo`030000003oool0oooo06P0oooo00<006Ko0?ooo`3o ool0o`3ooooo0?ooo`80oooo000O0?ooo`030000003oool0oooo06T0oooo00<006Ko0?ooo`3oool0 o`3ooooo0?ooo`40oooo000O0?ooo`030000003oool0oooo06T0oooo00<006Ko0?ooo`3oool0o`3o oooo0?ooo`40oooo000O0?ooo`030000003oool0oooo06X0oooo00<006Ko0?ooo`3oool0o`3ooooo 0?ooo`007`3oool00`000000oooo0?ooo`1Z0?ooo`03001Vo`3oool0oooo0?l0ooooo`3oool001l0 oooo00<000000?ooo`3oool0J`3oool00`00I_l0oooo0?ooo`3o0?ooooh0oooo000C0?ooo`040=nL B0000000000004RLg`P0oooo00<000000?ooo`3oool0J`3oool00`00I_l0oooo0?ooo`3o0?ooooh0 oooo000B0?ooo`060?oOW018B9`0oooo0?ooo`2LB4P0W=oo1`3oool00`000000oooo0?ooo`1/0?oo o`03001Vo`3oool0oooo0?l0ooooo@3oool001H0oooo00<0_gA809cOo`3oool01P3oool5000006X0 oooo00<006Ko0?ooo`3oool0o`3oooom0?ooo`004`3oool0102oM000000000000000M;l80?ooo`03 0000003oool0oooo06d0oooo00<006Ko0?ooo`3oool0o`3ooool0?ooo`004`3oool00`2oM4P0W=oo 0?ooo`090?ooo`030000003oool0oooo06d0oooo00<006Ko0?ooo`3oool0o`3ooool0?ooo`004`3o ool0102oM000000000000000M;l80?ooo`030000003oool0oooo06d0oooo00<006Ko0?ooo`3oool0 o`3ooool0?ooo`007`3oool00`000000oooo0?ooo`1^0?ooo`03001Vo`3oool0oooo0?l0oooon`3o ool001l0oooo00<000000?ooo`3oool0KP3oool00`00I_l0oooo0?ooo`3o0?oooo/0oooo000O0?oo o`030000003oool0oooo06l0oooo00<006Ko0?ooo`3oool0o`3ooooj0?ooo`007`3oool00`000000 oooo0?ooo`1_0?ooo`03001Vo`3oool0oooo0?l0oooonP3oool001l0oooo00<000000?ooo`3oool0 K`3oool00`00I_l0oooo0?ooo`3o0?ooooX0oooo000O0?ooo`<00000L03oool00`00I_l0oooo0?oo o`3o0?ooooT0oooo000O0?ooo`030000003oool0oooo0700oooo00<006Ko0?ooo`3oool0o`3ooooi 0?ooo`007`3oool00`000000oooo0?ooo`1`0?ooo`03001Vo`3oool0oooo0?l0oooon@3oool001l0 oooo00<000000?ooo`3oool0L@3oool00`00I_l0oooo0?ooo`3o0?ooooP0oooo000O0?ooo`030000 003oool0oooo0740oooo00<006Ko0?ooo`3oool0o`3ooooh0?ooo`007`3oool00`000000oooo0?oo o`1b0?ooo`03001Vo`3oool0oooo0?l0oooom`3oool001l0oooo00<000000?ooo`3oool0LP3oool0 0`00I_l0oooo0?ooo`3o0?ooooL0oooo000O0?ooo`030000003oool0oooo0780oooo00<006Ko0?oo o`3oool0o`3oooog0?ooo`007`3oool00`000000oooo0?ooo`1c0?ooo`03001Vo`3oool0oooo0?l0 oooomP3oool001l0oooo00<000000?ooo`3oool0L`3oool00`00I_l0oooo0?ooo`3o0?ooooH0oooo 000O0?ooo`<00000L`3oool00`00I_l0oooo0?ooo`3o0?ooooH0oooo000O0?ooo`030000003oool0 oooo07@0oooo00<006Ko0?ooo`3oool0o`3ooooe0?ooo`007`3oool00`000000oooo0?ooo`1d0?oo o`03001Vo`3oool0oooo0?l0oooom@3oool001l0oooo00<000000?ooo`3oool0M@3oool00`00I_l0 oooo0?ooo`3o0?oooo@0oooo000O0?ooo`030000003oool0oooo07D0oooo00<006Ko0?ooo`3oool0 o`3ooood0?ooo`007`3oool00`000000oooo0?ooo`1e0?ooo`03001Vo`3oool0oooo0?l0oooom03o ool001l0oooo00<000000?ooo`3oool0MP3oool00`00I_l0oooo0?ooo`3o0?oooo<0oooo000O0?oo o`030000003oool0oooo07H0oooo00<006Ko0?ooo`3oool0o`3ooooc0?ooo`007`3oool00`000000 oooo0?ooo`1f0?ooo`03001Vo`3oool0oooo0?l0ooool`3oool001l0oooo0`00001g0?ooo`03001V o`3oool0oooo0?l0oooolP3oool001l0oooo00<000000?ooo`3oool0M`3oool00`00I_l0oooo0?oo o`3o0?oooo80oooo000O0?ooo`030000003oool0oooo07P0oooo00<006Ko0?ooo`3oool0o`3ooooa 0?ooo`007`3oool00`000000oooo0?ooo`1h0?ooo`03001Vo`3oool0oooo0?l0ooool@3oool001l0 oooo00<000000?ooo`3oool0N03oool00`00I_l0oooo0?ooo`3o0?oooo40oooo000O0?ooo`030000 003oool0oooo07T0oooo00<006Ko0?ooo`3oool0o`3oooo`0?ooo`007`3oool00`000000oooo0?oo o`1i0?ooo`03001Vo`3oool0oooo0?l0ooool03oool001l0oooo00<000000?ooo`3oool0N@3oool0 0`00I_l0oooo0?ooo`3o0?oooo00oooo000O0?ooo`030000003oool0oooo07T0oooo00<006Ko0?oo o`3oool0o`3oooo`0?ooo`007`3oool00`000000oooo0?ooo`1j0?ooo`03001Vo`3oool0oooo0?l0 ooook`3oool001l0oooo0`00001j0?ooo`03001Vo`3oool0oooo0?l0ooook`3oool001l0oooo00<0 00000?ooo`3oool0NP3oool00`00I_l0oooo0?ooo`3o0?ooonl0oooo000O0?ooo`030000003oool0 oooo07/0oooo00<006Ko0?ooo`3oool0o`3oooo^0?ooo`007`3oool00`000000oooo0?ooo`1k0?oo o`03001Vo`3oool0oooo0?l0ooookP3oool001l0oooo00<000000?ooo`3oool0N`3oool00`00I_l0 oooo0?ooo`3o0?ooonh0oooo000O0?ooo`030000003oool0oooo07/0oooo00<006Ko0?ooo`3oool0 o`3oooo^0?ooo`007`3oool00`000000oooo0?ooo`1l0?ooo`03001Vo`3oool0oooo0?l0ooook@3o ool000P0oooo00<0gia807Boo`3oool00P3oool00`3ookl0M0000018W0030?ooo`040=nLB0000000 000004RLg`P0oooo00<000000?ooo`3oool0O03oool00`00I_l0oooo0?ooo`3o0?ooond0oooo0008 0?ooo`030?oo_`1dM;l0oooo00L0oooo00H0omnL04Q8W03oool0oooo09a8B02Lgol70?ooo`030000 003oool0oooo07`0oooo00<006Ko0?ooo`3oool0o`3oooo]0?ooo`002@3oool00`2oM7@0_ooo0?oo o`0:0?ooo`030;mdB02Lgol0oooo00H0oooo1@00001k0?ooo`03001Vo`3oool0oooo0?l0ooook03o ool000T0oooo00<0okmd04RLg`3oool01`3oool0102oM000000000000000M;l80?ooo`030000003o ool0oooo07d0oooo00<006Ko0?ooo`3oool0o`3oooo/0?ooo`001P3oool01@3ogi`0B7Bo0?ooo`3o okl0M4RL00P0oooo00<0_gA809cOo`3oool02@3oool00`000000oooo0?ooo`1m0?ooo`03001Vo`3o ool0oooo0?l0ooook03oool000H0oooo00H0omnL04P00000000000000000M02oool70?ooo`040;md 000000000000001d_`P0oooo00<000000?ooo`3oool0O@3oool00`00I_l0oooo0?ooo`3o0?ooon`0 oooo000O0?ooo`030000003oool0oooo07h0oooo00<006Ko0?ooo`3oool0o`3oooo[0?ooo`007`3o ool00`000000oooo0?ooo`1n0?ooo`03001Vo`3oool0oooo0?l0ooooj`3oool001l0oooo00<00000 0?ooo`3oool0OP3oool00`00I_l0oooo0?ooo`3o0?ooon/0oooo000O0?ooo`030000003oool0oooo 07l0oooo00<006Ko0?ooo`3oool0o`3ooooZ0?ooo`007`3oool00`000000oooo0?ooo`1o0?ooo`03 001Vo`3oool0oooo0?l0oooojP3oool001l0oooo0`00001o0?ooo`03001Vo`3oool0oooo0?l0oooo jP3oool001l0oooo00<000000?ooo`3oool0O`3oool00`00I_l0oooo0?ooo`3o0?ooonX0oooo000O 0?ooo`030000003oool0oooo0800oooo00<006Ko0?ooo`3oool0o`3ooooY0?ooo`007`3oool00`00 0000oooo0?ooo`200?ooo`03001Vo`3oool0oooo0?l0ooooj@3oool001l0oooo00<000000?ooo`3o ool0P03oool00`00I_l0oooo0?ooo`3o0?ooonT0oooo000O0?ooo`030000003oool0oooo0840oooo 00<006Ko0?ooo`3oool0o`3ooooX0?ooo`007`3oool00`000000oooo0?ooo`210?ooo`03001Vo`3o ool0oooo0?l0ooooj03oool001l0oooo00<000000?ooo`3oool0P@3oool00`00I_l0oooo0?ooo`3o 0?ooonP0oooo000O0?ooo`030000003oool0oooo0840oooo00<006Ko0?ooo`3oool0o`3ooooX0?oo o`007`3oool00`000000oooo0?ooo`220?ooo`03001Vo`3oool0oooo0?l0ooooi`3oool001l0oooo 0`0000220?ooo`03001Vo`3oool0oooo0?l0ooooi`3oool001l0oooo00<000000?ooo`3oool0PP3o ool00`00I_l0oooo0?ooo`3o0?ooonL0oooo000O0?ooo`030000003oool0oooo08<0oooo00<006Ko 0?ooo`3oool0o`3ooooV0?ooo`007`3oool00`000000oooo0?ooo`230?ooo`03001Vo`3oool0oooo 0?l0ooooiP3oool001l0oooo00<000000?ooo`3oool0P`3oool00`00I_l0oooo0?ooo`3o0?ooonH0 oooo000O0?ooo`030000003oool0oooo08<0oooo00<006Ko0?ooo`3oool0o`3ooooV0?ooo`007`3o ool00`000000oooo0?ooo`240?ooo`03001Vo`3oool0oooo0?l0ooooi@3oool001l0oooo00<00000 0?ooo`3oool0Q03oool00`00I_l0oooo0?ooo`3o0?ooonD0oooo000O0?ooo`030000003oool0oooo 08@0oooo00<006Ko0?ooo`3oool0o`3ooooU0?ooo`007`3oool3000008@0oooo00<006Ko0?ooo`3o ool0o`3ooooU0?ooo`007`3oool00`000000oooo0?ooo`250?ooo`03001Vo`3oool0oooo0?l0oooo i03oool001l0oooo00<000000?ooo`3oool0Q@3oool00`00I_l0oooo0?ooo`3o0?ooon@0oooo000O 0?ooo`030000003oool0oooo08D0oooo00<006Ko0?ooo`3oool0o`3ooooT0?ooo`007`3oool00`00 0000oooo0?ooo`250?ooo`03001Vo`3oool0oooo0?l0ooooi03oool001l0oooo00<000000?ooo`3o ool0QP3oool00`00I_l0oooo0?ooo`3o0?ooon<0oooo000O0?ooo`030000003oool0oooo08H0oooo 00<006Ko0?ooo`3oool0o`3ooooS0?ooo`007`3oool00`000000oooo0?ooo`260?ooo`03001Vo`3o ool0oooo0?l0ooooh`3oool001l0oooo00<000000?ooo`3oool0QP3oool00`00I_l0oooo0?ooo`3o 0?ooon<0oooo000O0?ooo`030000003oool0oooo08L0oooo00<006Ko0?ooo`3oool0o`3ooooR0?oo o`007`3oool3000008L0oooo00<006Ko0?ooo`3oool0o`3ooooR0?ooo`007`3oool00`000000oooo 0?ooo`270?ooo`03001Vo`3oool0oooo0?l0oooohP3oool001l0oooo00<000000?ooo`3oool0Q`3o ool00`00I_l0oooo0?ooo`3o0?ooon80oooo000O0?ooo`030000003oool0oooo08L0oooo00<006Ko 0?ooo`3oool0o`3ooooR0?ooo`007`3oool00`000000oooo0?ooo`280?ooo`03001Vo`3oool0oooo 0?l0ooooh@3oool001l0oooo00<000000?ooo`3oool0R03oool00`00I_l0oooo0?ooo`3o0?ooon40 oooo000O0?ooo`030000003oool0oooo08P0oooo00<006Ko0?ooo`3oool0o`3ooooQ0?ooo`00303o ool0203ookl0M000000000000000001809cOo`3oool0gia80P0000000`18W=l0oooo0?ooo`060?oo o`030000003oool0oooo08P0oooo00<006Ko0?ooo`3oool0o`3ooooQ0?ooo`003P3oool00`3o_g@0 B9cO0?ooo`020?ooo`0509adW03oool0oooo09a8M02oool01`3oool00`000000oooo0?ooo`290?oo o`03001Vo`3oool0oooo0?l0ooooh03oool000h0oooo00H0okmd04RLg`3oool0oooo0?oo_`1dB9`2 0?ooo`030;mdB02Lgol0oooo00H0oooo1@0000270?ooo`03001Vo`3oool0oooo0?l0ooooh03oool0 00h0oooo00H0okmd04RLg`3oool0oooo0?oo_`1dB9`20?ooo`030;mdB02Lgol0oooo00H0oooo00<0 00000?ooo`3oool0R@3oool00`00I_l0oooo0?ooo`3o0?ooon00oooo000=0?ooo`0309a8M02o_g@0 B9cO00<0oooo00D0W4Q809cOo`3ookl0M01d0;ooo`070?ooo`030000003oool0oooo08T0oooo00<0 06Ko0?ooo`3oool0o`3ooooP0?ooo`003@3oool00`3o_g@0000004RLg`030?ooo`040?oOW0180000 000007Boo`P0oooo00<000000?ooo`3oool0RP3oool00`00I_l0oooo0?ooo`3o0?oooml0oooo000O 0?ooo`030000003oool0oooo08X0oooo00<006Ko0?ooo`3oool0o`3ooooO0?ooo`007`3oool00`00 0000oooo0?ooo`2:0?ooo`03001Vo`3oool0oooo0?l0oooog`3oool001l0oooo00<000000?ooo`3o ool0RP3oool00`00I_l0oooo0?ooo`3o0?oooml0oooo000O0?ooo`030000003oool0oooo08X0oooo 00<006Ko0?ooo`3oool0o`3ooooO0?ooo`007`3oool00`000000oooo0?ooo`2;0?ooo`03001Vo`3o ool0oooo0?l0oooogP3oool001l0oooo00<000000?ooo`3oool0R`3oool00`00I_l0oooo0?ooo`3o 0?ooomh0oooo000O0?ooo`<00000R`3oool00`00I_l0oooo0?ooo`3o0?ooomh0oooo000O0?ooo`03 0000003oool0oooo08/0oooo00<006Ko0?ooo`3oool0o`3ooooN0?ooo`007`3oool00`000000oooo 0?ooo`2<0?ooo`03001Vo`3oool0oooo0?l0oooog@3oool001l0oooo00<000000?ooo`3oool0S03o ool00`00I_l0oooo0?ooo`3o0?ooomd0oooo000O0?ooo`030000003oool0oooo08`0oooo00<006Ko 0?ooo`3oool0o`3ooooM0?ooo`007`3oool00`000000oooo0?ooo`2<0?ooo`03001Vo`3oool0oooo 0?l0oooog@3oool001l0oooo00<000000?ooo`3oool0S@3oool00`00I_l0oooo0?ooo`3o0?ooom`0 oooo000O0?ooo`030000003oool0oooo08d0oooo00<006Ko0?ooo`3oool0o`3ooooL0?ooo`007`3o ool00`000000oooo0?ooo`2=0?ooo`03001Vo`3oool0oooo0?l0oooog03oool001l0oooo0`00002= 0?ooo`03001Vo`3oool0oooo0?l0oooog03oool001l0oooo00<000000?ooo`3oool0SP3oool00`00 I_l0oooo0?ooo`3o0?ooom/0oooo000O0?ooo`030000003oool0oooo08h0oooo00<006Ko0?ooo`3o ool0o`3ooooK0?ooo`007`3oool00`000000oooo0?ooo`2>0?ooo`03001Vo`3oool0oooo0?l0oooo f`3oool001l0oooo00<000000?ooo`3oool0SP3oool00`00I_l0oooo0?ooo`3o0?ooom/0oooo000O 0?ooo`030000003oool0oooo08h0oooo00<006Ko0?ooo`3oool0o`3ooooK0?ooo`007`3oool00`00 0000oooo0?ooo`2?0?ooo`03001Vo`3oool0oooo0?l0oooofP3oool001l0oooo00<000000?ooo`3o ool0S`3oool00`00I_l0oooo0?ooo`3o0?ooomX0oooo000O0?ooo`030000003oool0oooo08l0oooo 00<006Ko0?ooo`3oool0o`3ooooJ0?ooo`007`3oool00`000000oooo0?ooo`2?0?ooo`03001Vo`3o ool0oooo0?l0oooofP3oool001l0oooo0`00002@0?ooo`03001Vo`3oool0oooo0?l0oooof@3oool0 01l0oooo00<000000?ooo`3oool0T03oool00`00I_l0oooo0?ooo`3o0?ooomT0oooo000O0?ooo`03 0000003oool0oooo0900oooo00<006Ko0?ooo`3oool0o`3ooooI0?ooo`007`3oool00`000000oooo 0?ooo`2@0?ooo`03001Vo`3oool0oooo0?l0oooof@3oool001l0oooo00<000000?ooo`3oool0T@3o ool00`00I_l0oooo0?ooo`3o0?ooomP0oooo000O0?ooo`030000003oool0oooo0940oooo00<006Ko 0?ooo`3oool0o`3ooooH0?ooo`007`3oool00`000000oooo0?ooo`2A0?ooo`03001Vo`3oool0oooo 0?l0oooof03oool001l0oooo00<000000?ooo`3oool0T@3oool00`00I_l0oooo0?ooo`3o0?ooomP0 oooo000O0?ooo`030000003oool0oooo0940oooo00<006Ko0?ooo`3oool0o`3ooooH0?ooo`007`3o ool300000940oooo00<006Ko0?ooo`3oool0o`3ooooH0?ooo`007`3oool00`000000oooo0?ooo`2B 0?ooo`03001Vo`3oool0oooo0?l0ooooe`3oool001l0oooo00<000000?ooo`3oool0TP3oool00`00 I_l0oooo0?ooo`3o0?ooomL0oooo000O0?ooo`030000003oool0oooo0980oooo00<006Ko0?ooo`3o ool0o`3ooooG0?ooo`007`3oool00`000000oooo0?ooo`2B0?ooo`03001Vo`3oool0oooo0?l0oooo e`3oool001l0oooo00<000000?ooo`3oool0TP3oool00`00I_l0oooo0?ooo`3o0?ooomL0oooo000O 0?ooo`030000003oool0oooo0980oooo00<006Ko0?ooo`3oool0o`3ooooG0?ooo`007`3oool00`00 0000oooo0?ooo`2C0?ooo`03001Vo`3oool0oooo0?l0ooooeP3oool000070?oo_`1d000000000000 000004P0W=oo0?noM003000000060000M02oool0oooo0?oo_`1d000004RL0`3oool0103OW4P00000 00000018W=l80?ooo`030000003oool0oooo09<0oooo00<006Ko0?ooo`3oool0o`3ooooF0?ooo`00 0P3oool00`3o_g@0B9cO0?ooo`020?ooo`0309a8000007@0_ooo00P0oooo00H0omnL04Q8W03oool0 oooo09a8B02Lgol70?ooo`030000003oool0oooo09<0oooo00<006Ko0?ooo`3oool0o`3ooooF0?oo o`000P3oool00`3o_g@0B9cO0?ooo`030?ooo`030?noM0000000M;oo00/0oooo00<0_gA809cOo`3o ool01P3oool500000940oooo00<006Ko0?ooo`3oool0o`3ooooF0?ooo`000P3oool00`3o_g@0B9cO 0?ooo`040?ooo`030?oo_`2o_ol0oooo00L0oooo00@0_g@000000000000007Bo203oool00`000000 oooo0?ooo`2C0?ooo`03001Vo`3oool0oooo0?l0ooooeP3oool000040?ooo`2LB7@0_kmd04RLg`80 oooo00H0omnL04Q8W03oool0oono07@0M02oool70?ooo`030;mdB02Lgol0oooo00T0oooo00<00000 0?ooo`3oool0T`3oool00`00I_l0oooo0?ooo`3o0?ooomH0oooo0000103oool0okmd00000018W=l3 0?ooo`040=nLB0000000000004RLg`P0oooo00@0_g@000000000000007Bo203oool00`000000oooo 0?ooo`2D0?ooo`03001Vo`3oool0oooo0?l0ooooe@3oool001l0oooo00<000000?ooo`3oool0U03o ool00`00I_l0oooo0?ooo`3o0?ooomD0oooo000O0?ooo`030000003oool0oooo09@0oooo00<006Ko 0?ooo`3oool0o`3ooooE0?ooo`007`3oool00`000000oooo0?ooo`2D0?ooo`03001Vo`3oool0oooo 0?l0ooooe@3oool001l0oooo00<000000?ooo`3oool0U03oool00`00I_l0oooo0?ooo`3o0?ooomD0 oooo000O0?ooo`030000003oool0oooo09@0oooo00<006Ko0?ooo`3oool0o`3ooooE0?ooo`007`3o ool3000009D0oooo00<006Ko0?ooo`3oool0o`3ooooD0?ooo`007`3oool00`000000oooo0?ooo`2E 0?ooo`03001Vo`3oool0oooo0?l0ooooe03oool001l0oooo00<000000?ooo`3oool0U@3oool00`00 I_l0oooo0?ooo`3o0?ooom@0oooo000O0?ooo`030000003oool0oooo09D0oooo00<006Ko0?ooo`3o ool0o`3ooooD0?ooo`007`3oool00`000000oooo0?ooo`2E0?ooo`03001Vo`3oool0oooo0?l0oooo e03oool001l0oooo00<000000?ooo`3oool0U@3oool00`00I_l0oooo0?ooo`3o0?ooom@0oooo000O 0?ooo`030000003oool0oooo09D0oooo00<006Ko0?ooo`3oool0o`3ooooD0?ooo`007`3oool00`00 0000oooo0?ooo`2F0?ooo`03001Vo`3oool0oooo0?l0ooood`3oool001l0oooo00<000000?ooo`3o ool0UP3oool00`00I_l0oooo0?ooo`3o0?ooom<0oooo000O0?ooo`030000003oool0oooo09H0oooo 00<006Ko0?ooo`3oool0o`3ooooC0?ooo`007`3oool3000009H0oooo00<006Ko0?ooo`3oool0o`3o oooC0?ooo`007`3oool00`000000oooo0?ooo`2F0?ooo`03001Vo`3oool0oooo0?l0ooood`3oool0 01l0oooo00<000000?ooo`3oool0UP3oool00`00I_l0oooo0?ooo`3o0?ooom<0oooo000O0?ooo`03 0000003oool0oooo09L0oooo00<006Ko0?ooo`3oool0o`3ooooB0?ooo`007`3oool00`000000oooo 0?ooo`2G0?ooo`03001Vo`3oool0oooo0?l0oooodP3oool001l0oooo00<000000?ooo`3oool0U`3o ool00`00I_l0oooo0?ooo`3o0?ooom80oooo000O0?ooo`030000003oool0oooo09L0oooo00<006Ko 0?ooo`3oool0o`3ooooB0?ooo`007`3oool00`000000oooo0?ooo`2G0?ooo`03001Vo`3oool0oooo 0?l0oooodP3oool001l0oooo00<000000?ooo`3oool0U`3oool00`00I_l0oooo0?ooo`3o0?ooom80 oooo000O0?ooo`<00000V03oool00`00I_l0oooo0?ooo`3o0?ooom40oooo000O0?ooo`030000003o ool0oooo09P0oooo00<006Ko0?ooo`3oool0o`3ooooA0?ooo`007`3oool00`000000oooo0?ooo`2H 0?ooo`03001Vo`3oool0oooo0?l0ooood@3oool001l0oooo00<000000?ooo`3oool0V03oool00`00 I_l0oooo0?ooo`3o0?ooom40oooo000O0?ooo`030000003oool0oooo09P0oooo00<006Ko0?ooo`3o ool0o`3ooooA0?ooo`007`3oool00`000000oooo0?ooo`2H0?ooo`03001Vo`3oool0oooo0?l0oooo d@3oool001l0oooo00<000000?ooo`3oool0V@3oool00`00I_l0oooo0?ooo`3o0?ooom00oooo000O 0?ooo`030000003oool0oooo09T0oooo00<006Ko0?ooo`3oool0o`3oooo@0?ooo`007`3oool00`00 0000oooo0?ooo`2I0?ooo`03001Vo`3oool0oooo0?l0ooood03oool001l0oooo00<000000?ooo`3o ool0V@3oool00`00I_l0oooo0?ooo`3o0?ooom00oooo000O0?ooo`<00000V@3oool00`00I_l0oooo 0?ooo`3o0?ooom00oooo000O0?ooo`030000003oool0oooo09T0oooo00<006Ko0?ooo`3oool0o`3o ooo@0?ooo`007`3oool00`000000oooo0?ooo`2I0?ooo`03001Vo`3oool0oooo0?l0ooood03oool0 01l0oooo00<000000?ooo`3oool0VP3oool00`00I_l0oooo0?ooo`3o0?oooll0oooo000O0?ooo`03 0000003oool0oooo09X0oooo00<006Ko0?ooo`3oool0o`3oooo?0?ooo`007`3oool00`000000oooo 0?ooo`2J0?ooo`03001Vo`3oool0oooo0?l0ooooc`3oool001l0oooo00<000000?ooo`3oool0VP3o ool00`00I_l0oooo0?ooo`3o0?oooll0oooo000<0?ooo`080?oo_`1d000000000000000004P0W=oo 0?ooo`3OW4P20000000304RLg`3oool0oooo00H0oooo00<000000?ooo`3oool0VP3oool00`00I_l0 oooo0?ooo`3o0?oooll0oooo000>0?ooo`060?noM018W=l0oooo0?ooo`3ogi`0B4RL0P3oool00`2L B4P0W=oo0?ooo`060?ooo`030000003oool0oooo09X0oooo00<006Ko0?ooo`3oool0o`3oooo?0?oo o`003P3oool00`3o_g@0B9cO0?ooo`050?ooo`030;mdB02Lgol0oooo00H0oooo1@00002I0?ooo`03 001Vo`3oool0oooo0?l0oooocP3oool000h0oooo00<0okmd04RLg`3oool00P3oool0102oM0000000 00000000M;l80?ooo`030000003oool0oooo09/0oooo00<006Ko0?ooo`3oool0o`3oooo>0?ooo`00 3@3oool00`2LB7@0_kmd04RLg`030?ooo`030;mdB02Lgol0oooo00T0oooo00<000000?ooo`3oool0 V`3oool00`00I_l0oooo0?ooo`3o0?ooolh0oooo000=0?ooo`030?noM0000000B9cO00<0oooo00@0 _g@000000000000007Bo203oool00`000000oooo0?ooo`2K0?ooo`03001Vo`3oool0oooo0?l0oooo cP3oool001l0oooo00<000000?ooo`3oool0V`3oool00`00I_l0oooo0?ooo`3o0?ooolh0oooo000O 0?ooo`030000003oool0oooo09/0oooo00<006Ko0?ooo`3oool0o`3oooo>0?ooo`007`3oool00`00 0000oooo0?ooo`2L0?ooo`03001Vo`3oool0oooo0?l0ooooc@3oool001l0oooo00<000000?ooo`3o ool0W03oool00`00I_l0oooo0?ooo`3o0?ooold0oooo000O0?ooo`030000003oool0oooo09`0oooo 00<006Ko0?ooo`3oool0o`3oooo=0?ooo`007`3oool00`000000oooo0?ooo`2L0?ooo`03001Vo`3o ool0oooo0?l0ooooc@3oool001l0oooo0`00002L0?ooo`03001Vo`3oool0oooo0?l0ooooc@3oool0 01l0oooo00<000000?ooo`3oool0W03oool00`00I_l0oooo0?ooo`3o0?ooold0oooo000O0?ooo`03 0000003oool0oooo09d0oooo00<006Ko0?ooo`3oool0o`3oooo<0?ooo`007`3oool00`000000oooo 0?ooo`2M0?ooo`03001Vo`3oool0oooo0?l0ooooc03oool001l0oooo00<000000?ooo`3oool0W@3o ool00`00I_l0oooo0?ooo`3o0?oool`0oooo000O0?ooo`030000003oool0oooo09d0oooo00<006Ko 0?ooo`3oool0o`3oooo<0?ooo`007`3oool00`000000oooo0?ooo`2M0?ooo`03001Vo`3oool0oooo 0?l0ooooc03oool001l0oooo00<000000?ooo`3oool0W@3oool00`00I_l0oooo0?ooo`3o0?oool`0 oooo000O0?ooo`030000003oool0oooo09d0oooo00<006Ko0?ooo`3oool0o`3oooo<0?ooo`007`3o ool3000009d0oooo00<006Ko0?ooo`3oool0o`3oooo<0?ooo`007`3oool00`000000oooo0?ooo`2N 0?ooo`03001Vo`3oool0oooo0?l0oooob`3oool001l0oooo00<000000?ooo`3oool0WP3oool00`00 I_l0oooo0?ooo`3o0?oool/0oooo000O0?ooo`030000003oool0oooo09h0oooo00<006Ko0?ooo`3o ool0o`3oooo;0?ooo`007`3oool00`000000oooo0?ooo`2N0?ooo`03001Vo`3oool0oooo0?l0oooo b`3oool001l0oooo00<000000?ooo`3oool0WP3oool00`00I_l0oooo0?ooo`3o0?oool/0oooo000O 0?ooo`030000003oool0oooo09h0oooo00<006Ko0?ooo`3oool0o`3oooo;0?ooo`007`3oool00`00 0000oooo0?ooo`2N0?ooo`03001Vo`3oool0oooo0?l0oooob`3oool001l0oooo00<000000?ooo`3o ool0WP3oool00`00I_l0oooo0?ooo`3o0?oool/0oooo000O0?ooo`030000003oool0oooo09l0oooo 00<006Ko0?ooo`3oool0o`3oooo:0?ooo`007`3oool3000009l0oooo00<006Ko0?ooo`3oool0o`3o ooo:0?ooo`007`3oool00`000000oooo0?ooo`2O0?ooo`03001Vo`3oool0oooo0?l0oooobP3oool0 01l0oooo00<000000?ooo`3oool0W`3oool00`00I_l0oooo0?ooo`3o0?ooolX0oooo000O0?ooo`03 0000003oool0oooo09l0oooo00<006Ko0?ooo`3oool0o`3oooo:0?ooo`007`3oool00`000000oooo 0?ooo`2O0?ooo`03001Vo`3oool0oooo0?l0oooobP3oool001l0oooo00<000000?ooo`3oool0W`3o ool00`00I_l0oooo0?ooo`3o0?ooolX0oooo000O0?ooo`030000003oool0oooo09l0oooo00<006Ko 0?ooo`3oool0o`3oooo:0?ooo`007`3oool00`000000oooo0?ooo`2P0?ooo`03001Vo`3oool0oooo 0?l0oooob@3oool001l0oooo00<000000?ooo`3oool0X03oool00`00I_l0oooo0?ooo`3o0?ooolT0 oooo000O0?ooo`<00000X03oool00`00I_l0oooo0?ooo`3o0?ooolT0oooo000O0?ooo`030000003o ool0oooo0:00oooo00<006Ko0?ooo`3oool0o`3oooo90?ooo`007`3oool00`000000oooo0?ooo`2P 0?ooo`03001Vo`3oool0oooo0?l0oooob@3oool001l0oooo00<000000?ooo`3oool0X03oool00`00 I_l0oooo0?ooo`3o0?ooolT0oooo000O0?ooo`030000003oool0oooo0:00oooo00<006Ko0?ooo`3o ool0o`3oooo90?ooo`007`3oool00`000000oooo0?ooo`2P0?ooo`03001Vo`3oool0oooo0?l0oooo b@3oool001l0oooo00<000000?ooo`3oool0X@3oool00`00I_l0oooo0?ooo`3o0?ooolP0oooo000O 0?ooo`030000003oool0oooo0:40oooo00<006Ko0?ooo`3oool0o`3oooo80?ooo`0000H0oono07@0 0000000000000000B02Lgol20?ooo`030=nLB01d_ol0oooo0080oooo00<0oono07@00000B9`00`3o ool0103OW4P0000000000018W=l80?ooo`030000003oool0oooo0:40oooo00<006Ko0?ooo`3oool0 o`3oooo80?ooo`000P3oool00`3o_g@0B9cO0?ooo`030?ooo`030?oo_`1dM;l0oooo00L0oooo00H0 omnL04Q8W03oool0oooo09a8B02Lgol70?ooo`030000003oool0oooo0:40oooo00<006Ko0?ooo`3o ool0o`3oooo80?ooo`000P3oool00`3o_g@0B9cO0?ooo`040?ooo`030;mdM02oool0oooo00X0oooo 00<0_gA809cOo`3oool01P3oool5000009l0oooo00<006Ko0?ooo`3oool0o`3oooo80?ooo`000P3o ool00`3o_g@0B9cO0?ooo`040?ooo`030?noM018W=l0oooo00L0oooo00@0_g@000000000000007Bo 203oool00`000000oooo0?ooo`2Q0?ooo`03001Vo`3oool0oooo0?l0oooob03oool000040?ooo`2L B7@0_kmd04RLg`80oooo00D0omnL04Qd_`3oool0oono07A8W0080?ooo`030;mdB02Lgol0oooo00T0 oooo00<000000?ooo`3oool0X@3oool00`00I_l0oooo0?ooo`3o0?ooolP0oooo0000103oool0okmd 00000018W=l20?ooo`060?oOW018000000000000000007@0_ooo1`3oool0102oM000000000000000 M;l80?ooo`030000003oool0oooo0:40oooo00<006Ko0?ooo`3oool0o`3oooo80?ooo`007`3oool0 0`000000oooo0?ooo`2R0?ooo`03001Vo`3oool0oooo0?l0ooooa`3oool001l0oooo00<000000?oo o`3oool0XP3oool00`00I_l0oooo0?ooo`3o0?ooolL0oooo000O0?ooo`030000003oool0oooo0:80 oooo00<006Ko0?ooo`3oool0o`3oooo70?ooo`007`3oool00`000000oooo0?ooo`2R0?ooo`03001V o`3oool0oooo0?l0ooooa`3oool001l0oooo00<000000?ooo`3oool0XP3oool00`00I_l0oooo0?oo o`3o0?ooolL0oooo000O0?ooo`<00000XP3oool00`00I_l0oooo0?ooo`3o0?ooolL0oooo000O0?oo o`030000003oool0oooo0:80oooo00<006Ko0?ooo`3oool0o`3oooo70?ooo`007`3oool00`000000 oooo0?ooo`2R0?ooo`03001Vo`3oool0oooo0?l0ooooa`3oool001l0oooo00<000000?ooo`3oool0 X`3oool00`00I_l0oooo0?ooo`3o0?ooolH0oooo000O0?ooo`030000003oool0oooo0:<0oooo00<0 06Ko0?ooo`3oool0o`3oooo60?ooo`007`3oool00`000000oooo0?ooo`2S0?ooo`03001Vo`3oool0 oooo0?l0ooooaP3oool001l0oooo00<000000?ooo`3oool0X`3oool00`00I_l0oooo0?ooo`3o0?oo olH0oooo000O0?ooo`030000003oool0oooo0:<0oooo00<006Ko0?ooo`3oool0o`3oooo60?ooo`00 7`3oool00`000000oooo0?ooo`2S0?ooo`03001Vo`3oool0oooo0?l0ooooaP3oool001l0oooo00<0 00000?ooo`3oool0X`3oool00`00I_l0oooo0?ooo`3o0?ooolH0oooo000O0?ooo`<00000X`3oool0 0`00I_l0oooo0?ooo`3o0?ooolH0oooo000O0?ooo`030000003oool0oooo0:@0oooo00<006Ko0?oo o`3oool0o`3oooo50?ooo`007`3oool00`000000oooo0?ooo`2T0?ooo`03001Vo`3oool0oooo0?l0 ooooa@3oool001l0oooo00<000000?ooo`3oool0Y03oool00`00I_l0oooo0?ooo`3o0?ooolD0oooo 000O0?ooo`030000003oool0oooo0:@0oooo00<006Ko0?ooo`3oool0o`3oooo50?ooo`007`3oool0 0`000000oooo0?ooo`2T0?ooo`03001Vo`3oool0oooo0?l0ooooa@3oool001l0oooo00<000000?oo o`3oool0Y03oool00`00I_l0oooo0?ooo`3o0?ooolD0oooo000O0?ooo`030000003oool0oooo0:@0 oooo00<006Ko0?ooo`3oool0o`3oooo50?ooo`007`3oool00`000000oooo0?ooo`2T0?ooo`03001V o`3oool0oooo0?l0ooooa@3oool001l0oooo0`00002U0?ooo`03001Vo`3oool0oooo0?l0ooooa03o ool001l0oooo00<000000?ooo`3oool0Y@3oool00`00I_l0oooo0?ooo`3o0?oool@0oooo000O0?oo o`030000003oool0oooo0:D0oooo00<006Ko0?ooo`3oool0o`3oooo40?ooo`007`3oool00`000000 oooo0?ooo`2U0?ooo`03001Vo`3oool0oooo0?l0ooooa03oool001l0oooo00<000000?ooo`3oool0 Y@3oool00`00I_l0oooo0?ooo`3o0?oool@0oooo000O0?ooo`030000003oool0oooo0:D0oooo00<0 06Ko0?ooo`3oool0o`3oooo40?ooo`007`3oool00`000000oooo0?ooo`2U0?ooo`03001Vo`3oool0 oooo0?l0ooooa03oool001l0oooo00<000000?ooo`3oool0Y@3oool00`00I_l0oooo0?ooo`3o0?oo ol@0oooo000O0?ooo`030000003oool0oooo0:H0oooo00<006Ko0?ooo`3oool0o`3oooo30?ooo`00 7`3oool00`000000oooo0?ooo`2V0?ooo`03001Vo`3oool0oooo0?l0oooo``3oool001l0oooo0`00 002V0?ooo`03001Vo`3oool0oooo0?l0oooo``3oool001l0oooo00<000000?ooo`3oool0YP3oool0 0`00I_l0oooo0?ooo`3o0?oool<0oooo000O0?ooo`030000003oool0oooo0:H0oooo00<006Ko0?oo o`3oool0o`3oooo30?ooo`007`3oool00`000000oooo0?ooo`2V0?ooo`03001Vo`3oool0oooo0?l0 oooo``3oool001l0oooo00<000000?ooo`3oool0YP3oool00`00I_l0oooo0?ooo`3o0?oool<0oooo 000O0?ooo`030000003oool0oooo0:H0oooo00<006Ko0?ooo`3oool0o`3oooo30?ooo`007`3oool0 0`000000oooo0?ooo`2W0?ooo`03001Vo`3oool0oooo0?l0oooo`P3oool000`0oooo00P0okmd0000 0000000000000000M02oool0oooo0=nLB080000000<0B9cO0?ooo`3oool01P3oool00`000000oooo 0?ooo`2W0?ooo`03001Vo`3oool0oooo0?l0oooo`P3oool000d0oooo00<0W4P00000M02oool00`3o ool01@2LM9`0oooo0?ooo`2LB7@0_ooo00L0oooo00<000000?ooo`3oool0Y`3oool00`00I_l0oooo 0?ooo`3o0?oool80oooo000>0?ooo`060?noM0000000M;oo0?ooo`3ookl0M4RL0P3oool00`2oM4P0 W=oo0?ooo`060?ooo`D00000Y@3oool00`00I_l0oooo0?ooo`3o0?oool80oooo000?0?ooo`050?oo _`2o_ol0oooo0?oo_`1dB9`00P3oool00`2oM4P0W=oo0?ooo`3o0?ooool0ooooMP3oool000`0oooo 00`0omnL04Q8W03oool0oono07@0M02oool0oooo09a8B02Lgol0oono07@0M02ooooo0?ooool0oooo M`3oool000d0oooo00@0gia8000000000000B9cO0P3oool0103ogi`0B0000000001d_ooo0?ooool0 ooooN03oool00?l0ooooo`3ooon?0?ooo`00o`3ooooo0?ooohl0oooo0000\ \>"], ImageRangeCache->{{{0, 652}, {402.25, 0}} -> {-2.57865, -0.915642, \ 0.0813915, 0.0526777}}], Cell[BoxData[ TagBox[\(\[SkeletonIndicator] Graphics \[SkeletonIndicator]\), False, Editable->False]], "Output"] }, Open ]], Cell[CellGroupData[{ Cell["\<\ Experiment 3: GaussSeidl, k = 0, n = 64, vary \[Alpha]\ \>", "Subsection"], Cell["\<\ Take the Gauss-Seidl algorithm, use k = 0 for the initial estimate, n = 64. \ Use 50 steps, and try \[Alpha]=3, 2, 1.99, 1.95, 1.9, 1.5.\ \>", "Text"], Cell[CellGroupData[{ Cell[BoxData[{ \(\(exp31\ = \ N[RunAlgorithm[GaussSeidlStep, 50, \ InitialX[0, \ 64], \ Table[0, \ {i, \ 1, 64}], \ 64, \ 3]];\)\), "\[IndentingNewLine]", \(\(exp32\ = \ N[RunAlgorithm[GaussSeidlStep, 50, \ InitialX[0, \ 64], \ Table[0, \ {i, \ 1, 64}], \ 64, \ 2]];\)\), "\[IndentingNewLine]", \(\(exp33\ = \ N[RunAlgorithm[GaussSeidlStep, 50, \ InitialX[0, \ 64], \ Table[0, \ {i, \ 1, 64}], \ 64, \ 1.99]];\)\), "\[IndentingNewLine]", \(\(exp34\ = \ N[RunAlgorithm[GaussSeidlStep, 50, \ InitialX[0, \ 64], \ Table[0, \ {i, \ 1, 64}], \ 64, \ 1.95]];\)\), "\[IndentingNewLine]", \(\(exp35\ = \ N[RunAlgorithm[GaussSeidlStep, 50, \ InitialX[0, \ 64], \ Table[0, \ {i, \ 1, 64}], \ 64, \ 1.9]];\)\), "\[IndentingNewLine]", \(\(exp36\ = \ N[RunAlgorithm[GaussSeidlStep, 50, \ InitialX[0, \ 64], \ Table[0, \ {i, \ 1, 64}], \ 64, \ 1.5]];\)\)}], "Input"], Cell[BoxData[ RowBox[{\(General::"spell1"\), \(\(:\)\(\ \)\), "\<\"Possible spelling \ error: new symbol name \\\"\\!\\(exp31\\)\\\" is similar to existing symbol \ \\\"\\!\\(exp13\\)\\\". \\!\\(\\*ButtonBox[\\\"More\[Ellipsis]\\\", \ ButtonStyle->\\\"RefGuideLinkText\\\", ButtonFrame->None, \ ButtonData:>\\\"General::spell1\\\"]\\)\"\>"}]], "Message"], Cell[BoxData[ RowBox[{\(General::"spell1"\), \(\(:\)\(\ \)\), "\<\"Possible spelling \ error: new symbol name \\\"\\!\\(exp32\\)\\\" is similar to existing symbol \ \\\"\\!\\(exp23\\)\\\". \\!\\(\\*ButtonBox[\\\"More\[Ellipsis]\\\", \ ButtonStyle->\\\"RefGuideLinkText\\\", ButtonFrame->None, \ ButtonData:>\\\"General::spell1\\\"]\\)\"\>"}]], "Message"] }, Open ]], Cell["\<\ The Gauss-Seidl method converges for \[Alpha] = 3, does not improve for \ \[Alpha] = 2, and diverges for smaller \[Alpha]. (Raw data below).\ \>", "Text"], Cell[CellGroupData[{ Cell[BoxData[{ \(exp31\), "\[IndentingNewLine]", \(exp32\), "\[IndentingNewLine]", \(exp33\), "\[IndentingNewLine]", \(exp34\), "\[IndentingNewLine]", \(exp35\), "\[IndentingNewLine]", \(exp36\)}], "Input"], Cell[BoxData[ \({{2.3980745053022315`*^-14, 1.2212421900021178`*^-14, 6.439284050657877`*^-15, 3.60822606683549`*^-15, 2.2204517638558437`*^-15, 1.5404413417638593`*^-15, 1.2073740346749867`*^-15, 1.0443090003511443`*^-15, 9.645105592851578`*^-16, 9.254782167622716`*^-16, 9.063953770102696`*^-16, 8.970705519418851`*^-16, 8.925163907117435`*^-16, 8.902934062134587`*^-16, 8.892089433423018`*^-16, 8.886802149204616`*^-16, 8.88422594999706`*^-16, 8.88297152769646`*^-16, 8.88236112845335`*^-16, 8.882064318732924`*^-16, 8.881920099272605`*^-16, 8.8818500766075`*^-16, 8.88181610550943`*^-16, 8.881799638162108`*^-16, 8.881791662484936`*^-16, 8.8817878030124`*^-16, 8.881785937099736`*^-16, 8.881785035852212`*^-16, 8.88178460096894`*^-16, 8.881784391334022`*^-16, 8.881784290384707`*^-16, 8.881784241824712`*^-16, 8.881784218491409`*^-16, 8.88178420729231`*^-16, 8.881784201923395`*^-16, 8.881784199352563`*^-16, 8.881784198123048`*^-16, 8.881784197535759`*^-16, 8.88178419725559`*^-16, 8.881784197122108`*^-16, 8.881784197058597`*^-16, 8.881784197028417`*^-16, 8.881784197014099`*^-16, 8.881784197007315`*^-16, 8.881784197004104`*^-16, 8.881784197002587`*^-16, 8.881784197001872`*^-16, 8.881784197001536`*^-16, 8.88178419700138`*^-16, 8.881784197001308`*^-16, 8.881784197001274`*^-16, 8.88178419700126`*^-16, 8.881784197001254`*^-16, 8.881784197001252`*^-16, 8.881784197001252`*^-16, 8.881784197001252`*^-16, 8.881784197001252`*^-16, 8.881784197001252`*^-16, 8.881784197001252`*^-16, 8.881784197001252`*^-16, 8.881784197001252`*^-16, 8.881784197001252`*^-16, 8.881784197001252`*^-16, 8.881784197001252`*^-16}, {1.`, 1.`, 0.6666666666666666`, 0.40740740740740744`, 0.23868312757201648`, 0.13625971650663007`, 0.07641111619163744`, 0.04228691425765042`, 0.023163436769086308`, 0.012584233767770599`, 0.006790606265534909`, 0.0036435020176058177`, 0.0019454490307424456`, 0.001034417418376685`, 0.0005479937849102352`, 0.0002893650748474773`, 0.00015235688643248387`, 0.0000800116937840089`, 0.0000419208820839301`, 0.00002191731082268579`, 0.000011436825114177267`, 5.957388386967355`*^-6, 3.098137115407163`*^-6, 1.6087713851941033`*^-6, 8.342293649001629`*^-7, 4.320332930007413`*^-7, 2.2347460419132637`*^-7, 1.15465716568198`*^-7, 5.959682862308167`*^-8, 3.0730299833761606`*^-8, 1.5831050681057232`*^-8, 8.148457990578052`*^-9, 4.190687820741786`*^-9, 2.1535701461952637`*^-9, 1.1058968432332067`*^-9, 5.675037340995565`*^-10, 2.9102927971548396`*^-10, 1.4915324244535913`*^-10, 7.639587827677802`*^-11, 3.9107548779480106`*^-11, 2.0008571139363328`*^-11, 1.0231680491932106`*^-11, 5.229536228758837`*^-12, 2.6716154722047666`*^-12, 1.3642311432507337`*^-12, 6.963271585330394`*^-13, 3.552693225969696`*^-13, 1.8118751141307507`*^-13, 9.237017149145558`*^-14, 4.707328964591333`*^-14}, {1.`, 0.5000000000000004`, 0.2592592592592592`, 0.16872427983539096`, 0.10242341106538641`, 0.05984860031499263`, 0.034124201933987026`, 0.01912347748856411`, 0.010579203001315709`, 0.00579362750223569`, 0.0031471042479290917`, 0.001698052986863372`, 0.0009110316123657606`, 0.0004864236334664498`, 0.0002586287100627579`, 0.00013700818841499345`, 0.00007234519264847497`, 0.0000380908117000788`, 0.00002000357126124431`, 0.000010480485708508523`, 5.479436727209912`*^-6, 2.859251271560192`*^-6, 1.4893657302130596`*^-6, 7.745420202939405`*^-7, 4.021960718994216`*^-7, 2.085586888094149`*^-7, 1.0800888762312838`*^-7, 5.586888794511633`*^-8, 2.8866528789320064`*^-8, 1.4899249152704373`*^-8, 7.68259269047918`*^-9, 3.957770169836266`*^-9, 2.0371176745465224`*^-9, 1.047673302962057`*^-9, 5.383931091336503`*^-10, 2.764744543840725`*^-10, 1.4187603727012484`*^-10, 7.275736416858111`*^-11, 3.7288329497297914`*^-11, 1.9098977640116778`*^-11, 9.776890647431222`*^-12, 5.002144263173269`*^-12, 2.5579207565540704`*^-12, 1.3073843289540329`*^-12, 6.679039847176943`*^-13, 3.410578359360698`*^-13, 1.7408181118389454`*^-13, 8.881733992161949`*^-14, 4.5296881845542246`*^-14, 2.3092544592891015`*^-14, 0.`}}\)], "Output"], Cell[BoxData[ \({{1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`}, {1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`}, {0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`}}\)], "Output"], Cell[BoxData[ \({{1.5247798513558903`, 1.5389287934846545`, 1.5519814092328188`, 1.563952208336077`, 1.5748666529014046`, 1.5847599022082792`, 1.593675395956908`, 1.6016633424211713`, 1.6087791746295446`, 1.6150820315326082`, 1.6206333128868275`, 1.625495347074726`, 1.6297302010320764`, 1.6333986515151069`, 1.6365593276474066`, 1.6392680264351496`, 1.6415771959918506`, 1.6435355757038725`, 1.6451879785177406`, 1.6465751978723806`, 1.6477340203989819`, 1.648697325189481`, 1.6494942509894885`, 1.650150413895055`, 1.650688159825689`, 1.651126838027763`, 1.6514830839773218`, 1.651771102172256`, 1.6520029413327957`, 1.6521887563960747`, 1.6523370533498127`, 1.652454914377979`, 1.6525482019809763`, 1.652621741691032`, 1.6526794837462637`, 1.652724644636578`, 1.652759829816916`, 1.6527871391251585`, 1.6528082565695705`, 1.6528245261884975`, 1.6528370156551613`, 1.6528465692218977`, 1.6528538514871105`, 1.6528593833375806`, 1.6528635712788704`, 1.6528667312251906`, 1.6528691076828887`, 1.6528708891325825`, 1.6528722202962842`, 1.6528732118689875`, 1.6528739481995043`, 1.6528744933227109`, 1.652874895674109`, 1.6528751917568936`, 1.6528754089804143`, 1.6528755678459464`, 1.6528756836198164`, 1.6528757676040717`, 1.652875828089869`, 1.6528758710575115`, 1.6528759006685263`, 1.6528759195781992`, 1.6528759290805473`, 1.6528759290805473`}, {1.`, 1.0101010101010097`, 1.0203040506070804`, 1.0306101521283637`, 1.0410203556852158`, 1.0515357128133487`, 1.062157285670049`, 1.0728861471414635`, 1.0837233809509725`, 1.0946700817686574`, 1.1057273553218727`, 1.1168963185069343`, 1.1281780995019368`, 1.1395738378807085`, 1.151084684727917`, 1.1627118027553354`, 1.1744563664192789`, 1.1863195620392266`, 1.198302587917635`, 1.2104066544609549`, 1.2226329843018628`, 1.2349828124227178`, 1.2474573862802505`, 1.2600579659314972`, 1.2727858241609855`, 1.2856422466091832`, 1.2986285319022188`, 1.3117459917828815`, 1.3249959512429084`, 1.3383797486565718`, 1.3518987359155694`, 1.3655542785652308`, 1.3793477559420446`, 1.3932805613125194`, 1.407354102013382`, 1.4215697995931265`, 1.4359290899549209`, 1.4504334235008811`, 1.4650842652777223`, 1.4798830951237976`, 1.494831407817534`, 1.5099307132272797`, 1.5251825364625666`, 1.5405884180268106`, 1.5561499139714505`, 1.5718685960515484`, 1.5877460518828581`, 1.6037838851003785`, 1.619983715518404`, 1.6363471792920903`}, {0.010000000000000009`, 0.010101010101009944`, 0.010203040506070682`, 0.01030610152128375`, 0.010410203556852071`, 0.010515357128133562`, 0.01062157285670029`, 0.010728861471414497`, 0.010837233809509073`, 0.010946700817685562`, 0.01105727355321573`, 0.01116896318506222`, 0.011281780995002544`, 0.011395738378772391`, 0.011510846847209155`, 0.01162711802741856`, 0.011744563663943941`, 0.011863195619948197`, 0.011983025878408826`, 0.012104066543320302`, 0.012226329840908212`, 0.01234982812085561`, 0.012474573857533366`, 0.012600579651247168`, 0.012727858229488298`, 0.01285642244819818`, 0.012986285293036248`, 0.013117459880663151`, 0.013249959460027494`, 0.013383797413663912`, 0.01351898725899825`, 0.013655542649662067`, 0.013793477376814467`, 0.013932805370475032`, 0.014073540700862974`, 0.014215697579744946`, 0.014359290361795063`, 0.014504333545960257`, 0.014650841776841395`, 0.014798829846075279`, 0.014948312693736865`, 0.01509930540974569`, 0.01525182323528762`, 0.015405881564244162`, 0.01556149594464018`, 0.0157186820800983`, 0.015877455831310172`, 0.016037833217520836`, 0.01619983041802575`, 0.01636346377368647`, 0.`}}\)], "Output"], Cell[BoxData[ \({{8.48657075609469`, 8.893532938082831`, 9.281212591481049`, 9.648061074524279`, 9.992907520287831`, 10.314957364805059`, 10.613780210388777`, 10.889288447018844`, 11.141708310791138`, 11.371545198068263`, 11.579545084308798`, 11.766653830885073`, 11.933976019029613`, 12.082734747137739`, 12.21423358624985`, 12.329821627897909`, 12.430862295751886`, 12.51870634187748`, 12.59466922085828`, 12.66001283811198`, 12.71593150681017`, 12.76354182242868`, 12.803876074293232`, 12.837878756916416`, 12.866405716553924`, 12.890225465591918`, 12.910022214149746`, 12.926400199728612`, 12.939888937264648`, 12.950949059474228`, 12.959978467453576`, 12.967318561327442`, 12.973260368209697`, 12.978050428338097`, 12.9818963390202`, 12.984971889484603`, 12.987421747751297`, 12.989365683381202`, 12.990902327805255`, 12.992112487366173`, 12.993062033801838`, 12.993804403252721`, 12.994382738569795`, 12.994831711279863`, 12.995179059524153`, 12.995446877053228`, 12.995652686300394`, 12.995810325966177`, 12.995930680666778`, 12.996022277213791`, 12.996091769137443`, 12.996144328237195`, 12.996183959304359`, 12.996213751746387`, 12.99623607966512`, 12.996252759996453`, 12.996265176587592`, 12.996274376536979`, 12.996281143705932`, 12.996286052970143`, 12.996289507437345`, 12.996291759418376`, 12.996292914280444`, 12.996292914280444`}, {1.`, 1.0526315789473684`, 1.10803324099723`, 1.1663507799970845`, 1.2277376631548262`, 1.2923554348998172`, 1.3603741419998068`, 1.431972781052425`, 1.5073397695288573`, 1.5866734416092916`, 1.6701825701149593`, 1.758086915910276`, 1.850617806220865`, 1.9480187433893394`, 2.050546045670814`, 2.158469521754412`, 2.2720731807857844`, 2.3916559797590486`, 2.5175326102448836`, 2.650034326524986`, 2.7895098173120316`, 2.9363261233489237`, 3.0908696033017873`, 3.2535469504881864`, 3.424786263115725`, 3.605038170846907`, 3.794777020654246`, 3.9945021250854875`, 4.204739076222888`, 4.426041128793196`, 4.658990656066743`, 4.9042006823753495`, 5.162316496280141`, 5.434017348632268`, 5.72001823999263`, 6.021071802111454`, 6.337970278415693`, 6.671547608712304`, 7.022681623589213`, 7.392296354283857`, 7.781364464092481`, 8.190909807712492`, 8.622010125246124`, 9.075799877947192`, 9.553473233164848`, 10.056287206329893`, 10.585564968241412`, 11.142699326345289`, 11.729156389152871`, 12.346479423428487`}, {0.050000000000000044`, 0.052631578947368585`, 0.05540166204986141`, 0.05831753899985426`, 0.06138688315774132`, 0.0646177717449905`, 0.06801870709998958`, 0.07159863905261843`, 0.07536698847643208`, 0.07933367208043407`, 0.0835091285056675`, 0.08790434579531703`, 0.09253089031058859`, 0.09740093716847409`, 0.10252730228147433`, 0.10792347608359787`, 0.1136036590313716`, 0.11958279897326385`, 0.12587663048583497`, 0.13250171628010188`, 0.13947549078704613`, 0.14681630603689122`, 0.1545434799528631`, 0.1626773471863987`, 0.17123931262753755`, 0.18025190773118105`, 0.18973884980733846`, 0.19972510443124047`, 0.21023695113739826`, 0.22130205257030777`, 0.23294952727354534`, 0.245210026308607`, 0.25811581390479166`, 0.27170085235212493`, 0.2860008913603629`, 0.30105356211882306`, 0.31689847630423706`, 0.33357733029660963`, 0.35113401487690776`, 0.3696147306946429`, 0.3890681098086226`, 0.40954534362001027`, 0.4311003175336321`, 0.45378975270106636`, 0.4776733552176573`, 0.502813973165047`, 0.5292777619115192`, 0.5571343581038786`, 0.5864570628075771`, 0.617323034275616`, 0.`}}\)], "Output"], Cell[BoxData[ \({{77.64305896072504`, 85.4112609762553`, 93.12091086602065`, 100.71249854890247`, 108.13067700457897`, 115.32529193808978`, 122.25219115061086`, 128.87380050586296`, 135.15946486348935`, 141.08556273808648`, 146.6354122589083`, 151.7989929372749`, 156.57251264542873`, 160.95785207009905`, 164.96191985097767`, 168.5959508714237`, 171.87477802600978`, 174.8161045738054`, 177.43980023352813`, 179.7672398086888`, 181.8206986373574`, 183.6228147875529`, 185.19612385965885`, 186.5626686525619`, 187.74368288993455`, 188.75934573033527`, 189.62860190313629`, 190.3690409937056`, 190.99682859443308`, 191.52668167634098`, 191.97188054406774`, 192.34431003753002`, 192.65452316155634`, 192.91182099119885`, 193.1243434545044`, 193.2991663850812`, 193.44240102267557`, 193.5592928897777`, 193.6543176636504`, 193.73127228173456`, 193.7933600564851`, 193.8432690311256`, 193.88324318257798`, 193.91514637694374`, 193.94051921342805`, 193.96062906271337`, 193.9765137241714`, 193.98901920156246`, 193.99883213716748`, 194.0065074570689`, 194.01249177209232`, 194.0171430553241`, 194.0207470826773`, 194.02353108119954`, 194.0256749831317`, 194.02732063342683`, 194.0285792445417`, 194.0295373333249`, 194.0302613073505`, 194.0308007862143`, 194.03119063793199`, 194.0314515680327`, 194.03158889966465`, 194.03158889966465`}, {1.`, 1.111111111111111`, 1.2345679012345672`, 1.371742112482852`, 1.5241579027587238`, 1.693508780843023`, 1.8816764231589003`, 2.090751581287615`, 2.3230573125416236`, 2.581174791712403`, 2.8679719907901466`, 3.186635545318748`, 3.5407061614564643`, 3.9341179571536204`, 4.371242174570848`, 4.856935749430242`, 5.3965952769570436`, 5.996216974030531`, 6.662463303785896`, 7.402737002933902`, 8.225263334314624`, 9.139181478588844`, 10.154646080511034`, 11.282940078048886`, 12.536600067969193`, 13.92955560079054`, 15.477283952756556`, 17.19698209442769`, 19.107757766533943`, 21.230841785996724`, 23.589823940871668`, 26.210915095004072`, 29.123238414333183`, 32.35915295026279`, 35.954613174923445`, 39.949568462474936`, 44.388406954267694`, 49.3204487386216`, 54.80049382365902`, 60.88943099012256`, 67.65491428716597`, 75.1721146852281`, 83.52455523461602`, 92.80503900558642`, 103.1166801158086`, 114.57404929553446`, 127.30444671228176`, 141.44931618944796`, 157.16581652267078`, 174.62856734133018`}, {0.10000000000000009`, 0.11111111111111116`, 0.1234567901234569`, 0.13717421124828544`, 0.15241579027587226`, 0.1693508780842996`, 0.1881676423158778`, 0.2090751581287149`, 0.23230573125400955`, 0.25811747917078076`, 0.2867971990777436`, 0.31866355452860207`, 0.3540706161377174`, 0.39341179569715745`, 0.43712421741722984`, 0.4856935748593951`, 0.5396595275268021`, 0.5996216970734896`, 0.6662463297553662`, 0.7402736991480072`, 0.8225263313807236`, 0.9139181442742252`, 1.0154646019221953`, 1.128293997537856`, 1.25365998992031`, 1.3929555328213503`, 1.54772835196602`, 1.7196981416711346`, 1.9107756721062614`, 2.1230840194627874`, 2.3589821548749548`, 2.6210911541324116`, 2.9123233193291185`, 3.2359145359296164`, 3.5954602246606626`, 3.994955287551491`, 4.4388384917927795`, 4.93204178435392`, 5.480045085037432`, 6.088937166463559`, 6.765483297043431`, 7.517200398062158`, 8.352440549387921`, 9.280483770970449`, 10.311641110222212`, 11.457369179725887`, 12.730397416747337`, 14.144869477166225`, 15.716500333222854`, 17.4627508186594`, 0.`}}\)], "Output"], Cell[BoxData[ \({{9.162436682860876`*^10, 1.590691351454897`*^11, 2.553311548426621`*^11, 3.8931492976164746`*^11, 5.719032791047445`*^11, 8.162218160372438`*^11, 1.1379021975412297`*^12, 1.5553357097052766`*^12, 2.0899077184902217`*^12, 2.766202724775604`*^12, 3.6121692799850312`*^12, 4.659233901755344`*^12, 5.942353422151857`*^12, 7.499995931924361`*^12, 9.374041662587457`*^12, 1.160959676259875`*^13, 1.4254714942446004`*^13, 1.7360024333353457`*^13, 2.0978259554027766`*^13, 2.5163701821711445`*^13, 2.9971532877667625`*^13, 3.545711141490163`*^13, 4.167518348608456`*^13, 4.867904092287244`*^13, 5.65196440116895`*^13, 6.524472645483311`*^13, 7.489790192455384`*^13, 8.55177922358164`*^13, 9.713719728655627`*^13, 1.0978232643110395`*^14, 1.2347210987489128`*^14, 1.382176070407472`*^14, 1.54021526713731`*^14, 1.708778711950888`*^14, 1.887717137735958`*^14, 2.076791156519095`*^14, 2.27567185150689`*^14, 2.483942786603604`*^14, 2.701103395237504`*^14, 2.926573679106802`*^14, 3.159700118769556`*^14, 3.399762672615528`*^14, 3.645982719287214`*^14, 3.897531781499683`*^14, 4.1535408566622475`*^14, 4.413110171634623`*^14, 4.6753191747151`*^14, 4.939236575773614`*^14, 5.203930240885681`*^14, 5.46847673018424`*^14, 5.73197021123887`*^14, 5.993530324186436`*^14, 6.252308176765272`*^14, 6.507488680398802`*^14, 6.75828516453495`*^14, 7.003916989143112`*^14, 7.243549149353455`*^14, 7.476146997164399`*^14, 7.700143117909956`*^14, 7.912693798654881`*^14, 8.108051546650192`*^14, 8.274061574757306`*^14, 8.384734926828716`*^14, 8.384734926828716`*^14}, {1.`, 1.999999999987912`, 3.9999999996319966`, 7.9999999941453925`, 15.999999935198502`, 31.9999994393834`, 63.999995961642114`, 127.99997480012048`, 255.99986004796466`, 511.9992946135212`, 1023.9967255969342`, 2047.985840001995`, 4095.942432056806`, 8191.77833118993`, 16383.18661570007`, 32765.1412005249`, 65526.3337495624`, 131040.44001198748`, 262044.17999486788`, 523981.29788028897`, 1.0476583004402195`*^6, 2.0944721595555407`*^6, 4.1866519887411995`*^6, 8.3672065430190265`*^6, 1.6718497204831067`*^7, 3.3396170687644616`*^7, 6.668932179776124`*^7, 1.3312259133196881`*^8, 2.6561774388474822`*^8, 5.2971829340561545`*^8, 1.0558133475372012`*^9, 2.103074709133053`*^9, 4.1861852087207108`*^9, 8.326246189050074`*^9, 1.6546967995938059`*^10, 3.2854737482065857`*^10, 6.517199334607991`*^10, 1.2914622667930887`*^11, 2.55644172079711`*^11, 5.054764137269915`*^11, 9.982879613676956`*^11, 1.9691629800243567`*^12, 3.8793701595665596`*^12, 7.632718700589317`*^12, 1.4997622586355979`*^13, 2.9429252447727164`*^13, 5.766868186476869`*^13, 1.1284878624543562`*^14, 2.2051777019082456`*^14, 4.303040815485769`*^14}, {0.5`, 0.9999999999879121`, 1.9999999996440847`, 3.999999994513397`, 7.999999941053108`, 15.999999504184903`, 31.999996522258726`, 63.999978838478384`, 127.99988524784419`, 255.9994345655566`, 511.9974309834131`, 1023.9891144050612`, 2047.956592054812`, 4095.8358991331233`, 8191.40828451014`, 16381.954584824838`, 32761.1925490375`, 65514.10626242508`, 131003.73998288042`, 261937.1178854211`, 523677.00255993055`, 1.0468138591153214`*^6, 2.09217982918566`*^6, 4.180554554277827`*^6, 8.351290661812043`*^6, 1.6677673482813552`*^7, 3.329315111011664`*^7, 6.643326953420758`*^7, 1.3249515255277944`*^8, 2.6410054952086723`*^8, 5.2609505413158584`*^8, 1.0472613615958519`*^9, 2.083110499587658`*^9, 4.140060980329364`*^9, 8.220721806887983`*^9, 1.6307769486127808`*^10, 3.231725586401406`*^10, 6.397423333322897`*^10, 1.2649794540040216`*^11, 2.4983224164728058`*^11, 4.928115476407041`*^11, 9.708750186566614`*^11, 1.9102071795422031`*^12, 3.753348541022757`*^12, 7.364903885766662`*^12, 1.4431629861371184`*^13, 2.823942941704154`*^13, 5.518010438066695`*^13, 1.0766898394538894`*^14, 2.0978631135775244`*^14, 0.`}}\)], "Output"] }, Closed]], Cell[BoxData[{ \(\(PlotExp31\ = \ ListPlot[ exp31[\([2]\)], \ {PlotRange \[Rule] {{0, \ 50}, \ {0, \ 20}}, PlotJoined \[Rule] True, PlotStyle \[Rule] Hue[0.1]}];\)\), "\[IndentingNewLine]", \(\(PlotExp32\ = \ ListPlot[ exp32[\([2]\)], \ {PlotRange \[Rule] {{0, \ 50}, \ {0, \ 20}}, PlotJoined \[Rule] True, PlotStyle \[Rule] Hue[0.2]}];\)\), "\[IndentingNewLine]", \(\(PlotExp33\ = \ ListPlot[ exp33[\([2]\)], \ {PlotRange \[Rule] {{0, \ 50}, \ {0, \ 20}}, PlotJoined \[Rule] True, PlotStyle \[Rule] Hue[0.3]}];\)\), "\[IndentingNewLine]", \(\(PlotExp34\ = \ ListPlot[ exp34[\([2]\)], \ {PlotRange \[Rule] {{0, \ 50}, \ {0, \ 20}}, PlotJoined \[Rule] True, PlotStyle \[Rule] Hue[0.4]}];\)\), "\[IndentingNewLine]", \(\(PlotExp35\ = \ ListPlot[ exp35[\([2]\)], \ {PlotRange \[Rule] {{0, \ 50}, \ {0, \ 20}}, PlotJoined \[Rule] True, PlotStyle \[Rule] Hue[0.5]}];\)\), "\[IndentingNewLine]", \(\(PlotExp36\ = \ ListPlot[ exp36[\([2]\)], \ {PlotRange \[Rule] {{0, \ 50}, \ {0, \ 20}}, PlotJoined \[Rule] True, PlotStyle \[Rule] Hue[0.6]}];\)\), "\[IndentingNewLine]", \(Show[{PlotExp31, \ PlotExp32, \ PlotExp33, \ PlotExp34, \ PlotExp35, \ PlotExp36}]\)}], "Input"], Cell["\<\ The Gauss-Seidl algorithm appears to be very similar in its behavior to \ Jacobi! When it diverges, however, it appears to diverge faster, and when it \ converges, it appears to converge faster. (Redder colors correspond to \ larger alpha). Shown below is error norms versus iteration.\ \>", "Text"], Cell[GraphicsData["PostScript", "\<\ %! %%Creator: Mathematica %%AspectRatio: .61803 MathPictureStart /Mabs { Mgmatrix idtransform Mtmatrix dtransform } bind def /Mabsadd { Mabs 3 -1 roll add 3 1 roll add exch } bind def %% Graphics %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10 scalefont setfont % Scaling calculations -1.04083e-017 0.02 0 0.0309017 [ [.2 -0.0125 -6 -9 ] [.2 -0.0125 6 0 ] [.4 -0.0125 -6 -9 ] [.4 -0.0125 6 0 ] [.6 -0.0125 -6 -9 ] [.6 -0.0125 6 0 ] [.8 -0.0125 -6 -9 ] [.8 -0.0125 6 0 ] [1 -0.0125 -6 -9 ] [1 -0.0125 6 0 ] [-0.0125 .07725 -18 -4.5 ] [-0.0125 .07725 0 4.5 ] [-0.0125 .15451 -6 -4.5 ] [-0.0125 .15451 0 4.5 ] [-0.0125 .23176 -18 -4.5 ] [-0.0125 .23176 0 4.5 ] [-0.0125 .30902 -12 -4.5 ] [-0.0125 .30902 0 4.5 ] [-0.0125 .38627 -24 -4.5 ] [-0.0125 .38627 0 4.5 ] [-0.0125 .46353 -12 -4.5 ] [-0.0125 .46353 0 4.5 ] [-0.0125 .54078 -24 -4.5 ] [-0.0125 .54078 0 4.5 ] [-0.0125 .61803 -12 -4.5 ] [-0.0125 .61803 0 4.5 ] [ 0 0 0 0 ] [ 1 .61803 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath 0 g .25 Mabswid [ ] 0 setdash .2 0 m .2 .00625 L s [(10)] .2 -0.0125 0 1 Mshowa .4 0 m .4 .00625 L s [(20)] .4 -0.0125 0 1 Mshowa .6 0 m .6 .00625 L s [(30)] .6 -0.0125 0 1 Mshowa .8 0 m .8 .00625 L s [(40)] .8 -0.0125 0 1 Mshowa 1 0 m 1 .00625 L s [(50)] 1 -0.0125 0 1 Mshowa .125 Mabswid .04 0 m .04 .00375 L s .08 0 m .08 .00375 L s .12 0 m .12 .00375 L s .16 0 m .16 .00375 L s .24 0 m .24 .00375 L s .28 0 m .28 .00375 L s .32 0 m .32 .00375 L s .36 0 m .36 .00375 L s .44 0 m .44 .00375 L s .48 0 m .48 .00375 L s .52 0 m .52 .00375 L s .56 0 m .56 .00375 L s .64 0 m .64 .00375 L s .68 0 m .68 .00375 L s .72 0 m .72 .00375 L s .76 0 m .76 .00375 L s .84 0 m .84 .00375 L s .88 0 m .88 .00375 L s .92 0 m .92 .00375 L s .96 0 m .96 .00375 L s .25 Mabswid 0 0 m 1 0 L s 0 .07725 m .00625 .07725 L s [(2.5)] -0.0125 .07725 1 0 Mshowa 0 .15451 m .00625 .15451 L s [(5)] -0.0125 .15451 1 0 Mshowa 0 .23176 m .00625 .23176 L s [(7.5)] -0.0125 .23176 1 0 Mshowa 0 .30902 m .00625 .30902 L s [(10)] -0.0125 .30902 1 0 Mshowa 0 .38627 m .00625 .38627 L s [(12.5)] -0.0125 .38627 1 0 Mshowa 0 .46353 m .00625 .46353 L s [(15)] -0.0125 .46353 1 0 Mshowa 0 .54078 m .00625 .54078 L s [(17.5)] -0.0125 .54078 1 0 Mshowa 0 .61803 m .00625 .61803 L s [(20)] -0.0125 .61803 1 0 Mshowa .125 Mabswid 0 .01545 m .00375 .01545 L s 0 .0309 m .00375 .0309 L s 0 .04635 m .00375 .04635 L s 0 .0618 m .00375 .0618 L s 0 .09271 m .00375 .09271 L s 0 .10816 m .00375 .10816 L s 0 .12361 m .00375 .12361 L s 0 .13906 m .00375 .13906 L s 0 .16996 m .00375 .16996 L s 0 .18541 m .00375 .18541 L s 0 .20086 m .00375 .20086 L s 0 .21631 m .00375 .21631 L s 0 .24721 m .00375 .24721 L s 0 .26266 m .00375 .26266 L s 0 .27812 m .00375 .27812 L s 0 .29357 m .00375 .29357 L s 0 .32447 m .00375 .32447 L s 0 .33992 m .00375 .33992 L s 0 .35537 m .00375 .35537 L s 0 .37082 m .00375 .37082 L s 0 .40172 m .00375 .40172 L s 0 .41717 m .00375 .41717 L s 0 .43262 m .00375 .43262 L s 0 .44807 m .00375 .44807 L s 0 .47898 m .00375 .47898 L s 0 .49443 m .00375 .49443 L s 0 .50988 m .00375 .50988 L s 0 .52533 m .00375 .52533 L s 0 .55623 m .00375 .55623 L s 0 .57168 m .00375 .57168 L s 0 .58713 m .00375 .58713 L s 0 .60258 m .00375 .60258 L s .25 Mabswid 0 0 m 0 .61803 L s 0 0 m 1 0 L 1 .61803 L 0 .61803 L closepath clip newpath 1 .6 0 r .5 Mabswid .02 .0309 m .04 .0309 L .06 .0206 L .08 .01259 L .1 .00738 L .12 .00421 L .14 .00236 L .16 .00131 L .18 .00072 L .2 .00039 L .22 .00021 L .24 .00011 L .26 6e-005 L .28 3e-005 L .3 2e-005 L .32 1e-005 L .34 0 L .36 0 L .38 0 L .4 0 L .42 0 L .44 0 L .46 0 L .48 0 L .5 0 L .52 0 L .54 0 L .56 0 L .58 0 L .6 0 L .62 0 L .64 0 L .66 0 L .68 0 L .7 0 L .72 0 L .74 0 L .76 0 L .78 0 L .8 0 L .82 0 L .84 0 L .86 0 L .88 0 L .9 0 L .92 0 L .94 0 L .96 0 L .98 0 L 1 0 L Mistroke Mfstroke .8 1 0 r .02 .0309 m .04 .0309 L .06 .0309 L .08 .0309 L .1 .0309 L .12 .0309 L .14 .0309 L .16 .0309 L .18 .0309 L .2 .0309 L .22 .0309 L .24 .0309 L .26 .0309 L .28 .0309 L .3 .0309 L .32 .0309 L .34 .0309 L .36 .0309 L .38 .0309 L .4 .0309 L .42 .0309 L .44 .0309 L .46 .0309 L .48 .0309 L .5 .0309 L .52 .0309 L .54 .0309 L .56 .0309 L .58 .0309 L .6 .0309 L .62 .0309 L .64 .0309 L .66 .0309 L .68 .0309 L .7 .0309 L .72 .0309 L .74 .0309 L .76 .0309 L .78 .0309 L .8 .0309 L .82 .0309 L .84 .0309 L .86 .0309 L .88 .0309 L .9 .0309 L .92 .0309 L .94 .0309 L .96 .0309 L .98 .0309 L 1 .0309 L Mistroke Mfstroke .2 1 0 r .02 .0309 m .04 .03121 L .06 .03153 L .08 .03185 L .1 .03217 L .12 .03249 L .14 .03282 L .16 .03315 L .18 .03349 L .2 .03383 L .22 .03417 L .24 .03451 L .26 .03486 L .28 .03521 L .3 .03557 L .32 .03593 L .34 .03629 L .36 .03666 L .38 .03703 L .4 .0374 L .42 .03778 L .44 .03816 L .46 .03855 L .48 .03894 L .5 .03933 L .52 .03973 L .54 .04013 L .56 .04054 L .58 .04094 L .6 .04136 L .62 .04178 L .64 .0422 L .66 .04262 L .68 .04305 L .7 .04349 L .72 .04393 L .74 .04437 L .76 .04482 L .78 .04527 L .8 .04573 L .82 .04619 L .84 .04666 L .86 .04713 L .88 .04761 L .9 .04809 L .92 .04857 L .94 .04906 L .96 .04956 L .98 .05006 L 1 .05057 L Mistroke Mfstroke 0 1 .4 r .02 .0309 m .04 .03253 L .06 .03424 L .08 .03604 L .1 .03794 L .12 .03994 L .14 .04204 L .16 .04425 L .18 .04658 L .2 .04903 L .22 .05161 L .24 .05433 L .26 .05719 L .28 .0602 L .3 .06337 L .32 .0667 L .34 .07021 L .36 .07391 L .38 .0778 L .4 .08189 L .42 .0862 L .44 .09074 L .46 .09551 L .48 .10054 L .5 .10583 L .52 .1114 L .54 .11727 L .56 .12344 L .58 .12993 L .6 .13677 L .62 .14397 L .64 .15155 L .66 .15952 L .68 .16792 L .7 .17676 L .72 .18606 L .74 .19585 L .76 .20616 L .78 .21701 L .8 .22843 L .82 .24046 L .84 .25311 L .86 .26643 L .88 .28046 L .9 .29522 L .92 .31076 L .94 .32711 L .96 .34433 L .98 .36245 L 1 .38153 L Mistroke Mfstroke 0 1 1 r .02 .0309 m .04 .03434 L .06 .03815 L .08 .04239 L .1 .0471 L .12 .05233 L .14 .05815 L .16 .06461 L .18 .07179 L .2 .07976 L .22 .08863 L .24 .09847 L .26 .10941 L .28 .12157 L .3 .13508 L .32 .15009 L .34 .16676 L .36 .18529 L .38 .20588 L .4 .22876 L .42 .25417 L .44 .28242 L .46 .3138 L .48 .34866 L .5 .3874 L .52 .43045 L .54 .47827 L .56 .53142 L .58 .59046 L s .58 .59046 m .58841 .61803 L s 0 .4 1 r .02 .0309 m .04 .0618 L .06 .12361 L .08 .24721 L .1 .49443 L s .1 .49443 m .105 .61803 L s % End of Graphics MathPictureEnd \ \>"], "Graphics", ImageSize->{661, 408.375}, ImageMargins->{{43, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, ImageCache->GraphicsData["Bitmap", "\<\ CF5dJ6E]HGAYHf4PAg9QL6QYHg03oool30?nI0?l0ooooo`3ooolj0?ooo`007`3oool00`000000oooo 0?ooo`0d0?ooo`@0oiT0o`3ooooo0?ooocd0oooo000O0?ooo`030000003oool0oooo0340oooo0`3o V@3o0?ooool0oooo@@3oool001l0oooo00<000000?ooo`3oool0;P3oool30?nI0?l0ooooo`3ooom4 0?ooo`007`3oool4000002X0oooo0`3oV@3o0?ooool0ooooA`3oool001l0oooo00<000000?ooo`3o ool0:03oool30?nI0?l0ooooo`3ooom:0?ooo`007`3oool00`000000oooo0?ooo`0U0?ooo`<0oiT0 o`3ooooo0?ooodd0oooo000O0?ooo`030000003oool0oooo02<0oooo0P3oV@3o0?ooool0ooooD03o ool001l0oooo00<000000?ooo`3oool08@3oool20?nI0?l0ooooo`3ooomB0?ooo`007`3oool00`00 0000oooo0?ooo`0O0?ooo`80oiT0o`3ooooo0?oooe@0oooo000O0?ooo`030000003oool0oooo01d0 oooo0P3oV@3o0?ooool0ooooEP3oool001l0oooo00<000000?ooo`3oool06`3oool20?nI0?l0oooo o`3ooomH0?ooo`007`3oool00`000000oooo0?ooo`0I0?ooo`80oiT0o`3ooooo0?oooeX0oooo000O 0?ooo`030000003oool0oooo01L0oooo0P3oV@3o0?ooool0ooooG03oool001l0oooo100000090?oo o`03001Vo`00ool00?oo00<00?mV9P0co`3o0030?ooo`007`3oool00`000000oooo0?ooo`0<0?ooo`03001Vo`3o ool0oooo00/0oooo1P00ool90?ooo`d00?mVL03oooln03?o0?l0ooooT03oool001l0oooo00<00000 0?ooo`3oool03@3oool00`00I_l0oooo0?ooo`0@0?ooo`D00?oo4@3oool9003oIZD0oooo0?ooo`03 001Vo`3oool0oooo01P0oooo1000oolH0?ooo`T00?mVn@3ooolb03?o0?X0oooo000O0?ooo`030000 003oool0oooo00h0oooo00<006Ko0?ooo`3oool0703oool5003ooa`0oooo3@00ofKo0?oooal0oooo @3oool:003oI_l0ooooi`3o ool001l0oooo00<000000?ooo`3oool04`3oool00`00I_l0oooo0?ooo`0d0?ooo`<00?oo@03oool9 003oI_l0oooogP3oool001l0oooo00<000000?ooo`3oool04`3oool00`00I_l0oooo0?ooo`0g0?oo o`<00?ooAP3oool6003oI_l0oooof03oool001l0oooo00<000000?ooo`3oool0503oool00`00I_l0 oooo0?ooo`0i0?ooo`<00?ooB@3oool7003oI_l0ooood@3oool001l0oooo00<000000?ooo`3oool0 5@3oool00`00I_l0oooo0?ooo`0k0?ooo`<00?ooC@3oool6003oI_l0oooob`3oool001l0oooo00<0 00000?ooo`3oool05@3oool00`00I_l0oooo0?ooo`0n0?ooo`<00?ooD03oool6003oI_l0ooooa@3o ool001l0oooo1000000E0?ooo`03001Vo`3oool0oooo0400oooo1000oomB0?ooo`H00?mVo`3ooono 0?ooo`007`3oool00`000000oooo0?ooo`0F0?ooo`03001Vo`3oool0oooo04@0oooo0`00oomE0?oo o`H00?mVo`3oooni0?ooo`007`3oool00`000000oooo0?ooo`0G0?ooo`03001Vo`3oool0oooo04H0 oooo0`00oomH0?ooo`H00?mVo`3ooonc0?ooo`007`3oool00`000000oooo0?ooo`0G0?ooo`03001V o`3oool0oooo04T0oooo0`00oomK0?ooo`L00?mVo`3ooon/0?ooo`007`3oool00`000000oooo0?oo o`0G0?ooo`03001Vo`3oool0oooo04`0oooo0`00oomO0?ooo`H00?mVo`3ooonV0?ooo`007`3oool0 0`000000oooo0?ooo`0H0?ooo`03001Vo`3oool0oooo04h0oooo0`00oomR0?ooo`D00?mVo`3ooonQ 0?ooo`007`3oool00`000000oooo0?ooo`0H0?ooo`03001Vo`3oool0oooo0540oooo0`00oomT0?oo o`@00?mVo`3ooonM0?ooo`007`3oool00`000000oooo0?ooo`0H0?ooo`03001Vo`3oool0oooo05@0 oooo0P00oomV0?ooo`@00?mVo`3ooonI0?ooo`001P3oool02P3o_g@00000000000000000001d0;oo o`3oool0oono07@00000B9`30?ooo`040=nLB0000000000004RLg`P0oooo00<000000?ooo`3oool0 6@3oool00`00I_l0oooo0?ooo`1E0?ooo`<00?ooI`3oool6003oI_l0ooooT`3oool000L0oooo00<0 W4P00000M02oool0203oool01P3ogi`0B4RL0?ooo`3oool0W4Q809cOo`L0oooo00<000000?ooo`3o ool06@3oool00`00I_l0oooo0?ooo`1H0?ooo`<00?ooJP3oool6003oI_l0ooooS@3oool000P0oooo 00<0okmd0000001d_ol02`3oool00`2oM4P0W=oo0?ooo`060?ooo`D000005`3oool00`00I_l0oooo 0?ooo`1K0?ooo`800?ooKP3oool5003oI_l0ooooR03oool000T0oooo00<0oono0;noo`3oool01`3o ool0102oM000000000000000M;l80?ooo`030000003oool0oooo01X0oooo00<006Ko0?ooo`3oool0 G03oool2003oog40oooo1000ofKo0?oooh@0oooo00060?ooo`060?oOW018B9`0oooo0?oo_`1d07@0 _ooo1`3oool00`2oM4P0W=oo0?ooo`090?ooo`030000003oool0oooo01X0oooo00<006Ko0?ooo`3o ool0GP3oool2003oog<0oooo1000ofKo0?oooh00oooo00070?ooo`040=nLB0000000000004RLg`P0 oooo00@0_g@000000000000007Bo203oool00`000000oooo0?ooo`0J0?ooo`03001Vo`3oool0oooo 0600oooo0P00oome0?ooo`H00?mVo`3ooomj0?ooo`007`3oool00`000000oooo0?ooo`0K0?ooo`03 001Vo`3oool0oooo0640oooo0P00oomi0?ooo`H00?mVo`3ooomd0?ooo`007`3oool00`000000oooo 0?ooo`0K0?ooo`03001Vo`3oool0oooo06<0oooo0P00oomm0?ooo`D00?mVo`3ooom_0?ooo`007`3o ool00`000000oooo0?ooo`0K0?ooo`03001Vo`3oool0oooo06D0oooo0P00oon00?ooo`@00?mVo`3o oom[0?ooo`007`3oool00`000000oooo0?ooo`0L0?ooo`03001Vo`3oool0oooo06H0oooo0`00oon1 0?ooo`@00?mVo`3ooomW0?ooo`007`3oool00`000000oooo0?ooo`0L0?ooo`03001Vo`3oool0oooo 06T0oooo0P00oon30?ooo`D00?mVo`3ooomR0?ooo`007`3oool4000001/0oooo00<006Ko0?ooo`3o ool0J`3oool2003oohH0oooo1000ofKo0?oooeh0oooo000O0?ooo`030000003oool0oooo01d0oooo 00<006Ko0?ooo`3oool0K03oool2003oohP0oooo1000ofKo0?oooeX0oooo000O0?ooo`030000003o ool0oooo01d0oooo00<006Ko0?ooo`3oool0KP3oool2003oohX0oooo1000ofKo0?oooeH0oooo000O 0?ooo`030000003oool0oooo01d0oooo00<006Ko0?ooo`3oool0L03oool2003ooh`0oooo1000ofKo 0?oooe80oooo000O0?ooo`030000003oool0oooo01h0oooo00<006Ko0?ooo`3oool0L@3oool2003o ohh0oooo1000ofKo0?ooodh0oooo000O0?ooo`030000003oool0oooo01h0oooo00<006Ko0?ooo`3o ool0L`3oool2003ooi00oooo1000ofKo0?ooodX0oooo000O0?ooo`030000003oool0oooo01h0oooo 00<006Ko0?ooo`3oool0M@3oool2003ooi80oooo0`00ofKo0?ooodL0oooo000O0?ooo`030000003o ool0oooo01l0oooo00<006Ko0?ooo`3oool0MP3oool00`00ool0oooo0?ooo`2B0?ooo`<00?mVo`3o oom40?ooo`007`3oool00`000000oooo0?ooo`0O0?ooo`03001Vo`3oool0oooo07L0oooo0P00oonE 0?ooo`<00?mVo`3ooom10?ooo`007`3oool00`000000oooo0?ooo`0O0?ooo`03001Vo`3oool0oooo 07T0oooo0P00oonF0?ooo`@00?mVo`3ooolm0?ooo`007`3oool4000001l0oooo00<006Ko0?ooo`3o ool0NP3oool2003ooiP0oooo1000ofKo0?ooocT0oooo000O0?ooo`030000003oool0oooo0200oooo 00<006Ko0?ooo`3oool0O03oool00`00ool0oooo0?ooo`2I0?ooo`@00?mVo`3ooole0?ooo`007`3o ool00`000000oooo0?ooo`0P0?ooo`03001Vo`3oool0oooo07d0oooo0P00oonM0?ooo`@00?mVo`3o oola0?ooo`007`3oool00`000000oooo0?ooo`0Q0?ooo`03001Vo`3oool0oooo07h0oooo0P00oonO 0?ooo`<00?mVo`3oool^0?ooo`007`3oool00`000000oooo0?ooo`0Q0?ooo`03001Vo`3oool0oooo 0800oooo0P00oonP0?ooo`<00?mVo`3oool[0?ooo`007`3oool00`000000oooo0?ooo`0Q0?ooo`03 001Vo`3oool0oooo0880oooo0P00oonQ0?ooo`<00?mVo`3ooolX0?ooo`007`3oool00`000000oooo 0?ooo`0R0?ooo`03001Vo`3oool0oooo08<0oooo0P00oonR0?ooo`@00?mVo`3ooolT0?ooo`007`3o ool00`000000oooo0?ooo`0R0?ooo`03001Vo`3oool0oooo08D0oooo0P00oonT0?ooo`@00?mVo`3o oolP0?ooo`007`3oool00`000000oooo0?ooo`0R0?ooo`03001Vo`3oool0oooo08L0oooo00<00?oo 0?ooo`3oool0Y@3oool4003oI_l0oooo703oool001l0oooo00<000000?ooo`3oool08`3oool00`00 I_l0oooo0?ooo`270?ooo`03003oo`3oool0oooo0:P0oooo1000ofKo0?oooaP0oooo000O0?ooo`@0 00008P3oool00`00I_l0oooo0?ooo`280?ooo`800?oo[03oool2003oI_l0oooo5P3oool001l0oooo 00<000000?ooo`3oool08`3oool00`00I_l0oooo0?ooo`2:0?ooo`03003oo`3oool0oooo0:/0oooo 0P00ofKo0?oooa@0oooo000O0?ooo`030000003oool0oooo02<0oooo00<006Ko0?ooo`3oool0R`3o ool00`00ool0oooo0?ooo`2/0?ooo`<00?mVo`3ooolA0?ooo`007`3oool00`000000oooo0?ooo`0S 0?ooo`03001Vo`3oool0oooo08`0oooo0P00oon_0?ooo`800?mVo`3oool?0?ooo`007`3oool00`00 0000oooo0?ooo`0T0?ooo`03001Vo`3oool0oooo08d0oooo00<00?oo0?ooo`3oool0[P3oool3003o I_l0oooo303oool001l0oooo00<000000?ooo`3oool0903oool00`00I_l0oooo0?ooo`2>0?ooo`03 003oo`3oool0oooo0;00oooo0`00ofKo0?ooo`T0oooo000O0?ooo`030000003oool0oooo02@0oooo 00<006Ko0?ooo`3oool0S`3oool2003ook<0oooo1000ofKo0?ooo`D0oooo000O0?ooo`030000003o ool0oooo02@0oooo00<006Ko0?ooo`3oool0T@3oool00`00ool0oooo0?ooo`2d0?ooo`<00?mVo`3o ool20?ooo`007`3oool00`000000oooo0?ooo`0T0?ooo`03001Vo`3oool0oooo0980oooo00<00?oo 0?ooo`3oool0]P3oool3003oI_h0oooo000O0?ooo`@000008`3oool00`00I_l0oooo0?ooo`2C0?oo o`800?oo^@3oool3003oI_/0oooo000O0?ooo`030000003oool0oooo02D0oooo00<006Ko0?ooo`3o ool0U03oool00`00ool0oooo0?ooo`2i0?ooo`<00?mVn03oool001l0oooo00<000000?ooo`3oool0 9@3oool00`00I_l0oooo0?ooo`2E0?ooo`03003oo`3oool0oooo0;/0oooo0`00ofKe0?ooo`007`3o ool00`000000oooo0?ooo`0U0?ooo`03001Vo`3oool0oooo09H0oooo0P00oonn0?ooo`<00?mVlP3o ool001l0oooo00<000000?ooo`3oool09@3oool00`00I_l0oooo0?ooo`2H0?ooo`03003oo`3oool0 oooo0;h0oooo0P00ofK`0?ooo`007`3oool00`000000oooo0?ooo`0U0?ooo`03001Vo`3oool0oooo 09T0oooo00<00?oo0?ooo`3oool0_`3oool3003oI^d0oooo000O0?ooo`030000003oool0oooo02D0 oooo00<006Ko0?ooo`3oool0VP3oool2003ool80oooo0`00ofKZ0?ooo`007`3oool00`000000oooo 0?ooo`0V0?ooo`03001Vo`3oool0oooo09/0oooo00<00?oo0?ooo`3oool0`P3oool2003oI^P0oooo 000C0?ooo`040=nLB0000000000004RLg`P0oooo00<000000?ooo`3oool09P3oool00`00I_l0oooo 0?ooo`2L0?ooo`03003oo`3oool0oooo0<<0oooo0`00ofKU0?ooo`004P3oool01P3ogi`0B4RL0?oo o`3oool0W4Q809cOo`L0oooo00<000000?ooo`3oool09P3oool00`00I_l0oooo0?ooo`2M0?ooo`80 0?ooaP3oool2003oI^<0oooo000F0?ooo`030;mdB02Lgol0oooo00H0oooo1@00000T0?ooo`03001V o`3oool0oooo09l0oooo00<00?oo0?ooo`3oool0a@3oool2003oI^40oooo000C0?ooo`040;md0000 00000000001d_`P0oooo00<000000?ooo`3oool09P3oool00`00I_l0oooo0?ooo`2P0?ooo`03003o o`3oool0oooo00?ooo`<00?mVc@3oool001l0oooo1000000V 0?ooo`03001Vo`3oool0oooo0:T0oooo00<00?oo0?ooo`3oool0d03oool2003oI//0oooo000O0?oo o`030000003oool0oooo02P0oooo00<006Ko0?ooo`3oool0Z@3oool00`00ool0oooo0?ooo`3A0?oo o`800?mVb@3oool001l0oooo00<000000?ooo`3oool0:03oool00`00I_l0oooo0?ooo`2Z0?ooo`03 003oo`3oool0oooo0=80oooo0P00ofK70?ooo`007`3oool00`000000oooo0?ooo`0X0?ooo`03001V o`3oool0oooo0:/0oooo00<00?oo0?ooo`3oool0d`3oool2003oI/D0oooo000O0?ooo`030000003o ool0oooo02P0oooo00<006Ko0?ooo`3oool0[03oool00`00ool0oooo0?ooo`3D0?ooo`800?mV``3o ool001l0oooo00<000000?ooo`3oool0:03oool00`00I_l0oooo0?ooo`2]0?ooo`03003oo`3oool0 oooo0=D0oooo0`00ofK00?ooo`007`3oool00`000000oooo0?ooo`0X0?ooo`03001Vo`3oool0oooo 0:h0oooo00<00?oo0?ooo`3oool0e`3oool2003oI[h0oooo000O0?ooo`030000003oool0oooo02T0 oooo00<006Ko0?ooo`3oool0[P3oool00`00ool0oooo0?ooo`3H0?ooo`800?mV_03oool001l0oooo 00<000000?ooo`3oool0:@3oool00`00I_l0oooo0?ooo`2_0?ooo`03003oo`3oool0oooo0=T0oooo 0`00ofJi0?ooo`007`3oool00`000000oooo0?ooo`0Y0?ooo`03001Vo`3oool0oooo0;00oooo00<0 0?oo0?ooo`3oool0f`3oool2003oI[L0oooo000O0?ooo`@00000:03oool00`00I_l0oooo0?ooo`2a 0?ooo`03003oo`3oool0oooo0=`0oooo0P00ofJe0?ooo`007`3oool00`000000oooo0?ooo`0Y0?oo o`03001Vo`3oool0oooo0;80oooo00<00?oo0?ooo`3oool0g@3oool2003oI[<0oooo000O0?ooo`03 0000003oool0oooo02T0oooo00<006Ko0?ooo`3oool0/`3oool00`00ool0oooo0?ooo`3N0?ooo`80 0?mV/@3oool001l0oooo00<000000?ooo`3oool0:@3oool00`00I_l0oooo0?ooo`2d0?ooo`03003o o`3oool0oooo0=l0oooo0P00ofJ_0?ooo`007`3oool00`000000oooo0?ooo`0Z0?ooo`03001Vo`3o ool0oooo0;@0oooo00<00?oo0?ooo`3oool0h03oool2003oIZd0oooo000O0?ooo`030000003oool0 oooo02X0oooo00<006Ko0?ooo`3oool0]@3oool00`00ool0oooo0?ooo`3Q0?ooo`800?mVZ`3oool0 01l0oooo00<000000?ooo`3oool0:P3oool00`00I_l0oooo0?ooo`2f0?ooo`03003oo`3oool0oooo 0>80oooo0P00ofJY0?ooo`007`3oool00`000000oooo0?ooo`0Z0?ooo`03001Vo`3oool0oooo0;L0 oooo00<00?oo0?ooo`3oool0h`3oool00`00ofH0oooo0?ooo`2V0?ooo`007`3oool00`000000oooo 0?ooo`0Z0?ooo`03001Vo`3oool0oooo0;P0oooo00<00?oo0?ooo`3oool0h`3oool2003oIZH0oooo 000O0?ooo`030000003oool0oooo02X0oooo00<006Ko0?ooo`3oool0^@3oool00`00ool0oooo0?oo o`3T0?ooo`800?mVY03oool001l0oooo1000000Z0?ooo`03001Vo`3oool0oooo0;T0oooo00<00?oo 0?ooo`3oool0i@3oool2003oIZ80oooo000O0?ooo`030000003oool0oooo02/0oooo00<006Ko0?oo o`3oool0^P3oool00`00ool0oooo0?ooo`3V0?ooo`800?mVX03oool001l0oooo00<000000?ooo`3o ool0:`3oool00`00I_l0oooo0?ooo`2k0?ooo`03003oo`3oool0oooo0>L0oooo0P00ofJN0?ooo`00 7`3oool00`000000oooo0?ooo`0[0?ooo`03001Vo`3oool0oooo0;`0oooo00<00?oo0?ooo`3oool0 j03oool2003oIY`0oooo000O0?ooo`030000003oool0oooo02/0oooo00<006Ko0?ooo`3oool0_@3o ool00`00ool0oooo0?ooo`3Y0?ooo`800?mVVP3oool001l0oooo00<000000?ooo`3oool0:`3oool0 0`00I_l0oooo0?ooo`2n0?ooo`03003oo`3oool0oooo0>X0oooo0P00ofJH0?ooo`007`3oool00`00 0000oooo0?ooo`0/0?ooo`03001Vo`3oool0oooo0;h0oooo00<00?oo0?ooo`3oool0j`3oool2003o IYH0oooo000O0?ooo`030000003oool0oooo02`0oooo00<006Ko0?ooo`3oool0_P3oool00`00ool0 oooo0?ooo`3]0?ooo`800?mVU03oool001l0oooo00<000000?ooo`3oool0;03oool00`00I_l0oooo 0?ooo`2o0?ooo`03003oo`3oool0oooo0>h0oooo0P00ofJB0?ooo`007`3oool4000002/0oooo00<0 06Ko0?ooo`3oool0`03oool00`00ool0oooo0?ooo`3_0?ooo`800?mVT03oool001l0oooo00<00000 0?ooo`3oool0;03oool00`00I_l0oooo0?ooo`310?ooo`03003oo`3oool0oooo0?00oooo00<00?mV 0?ooo`3oool0S@3oool001l0oooo00<000000?ooo`3oool0;03oool00`00I_l0oooo0?ooo`320?oo o`03003oo`3oool0oooo0?00oooo0P00ofJ=0?ooo`007`3oool00`000000oooo0?ooo`0/0?ooo`03 001Vo`3oool0oooo0<<0oooo00<00?oo0?ooo`3oool0l@3oool2003oIX/0oooo000O0?ooo`030000 003oool0oooo02d0oooo00<006Ko0?ooo`3oool0``3oool00`00ool0oooo0?ooo`3b0?ooo`03003o IP3oool0oooo08P0oooo000O0?ooo`030000003oool0oooo02d0oooo00<006Ko0?ooo`3oool0``3o ool00`00ool0oooo0?ooo`3c0?ooo`800?mVR03oool001l0oooo00<000000?ooo`3oool0;@3oool0 0`00I_l0oooo0?ooo`340?ooo`03003oo`3oool0oooo0?@0oooo0P00ofJ60?ooo`007`3oool00`00 0000oooo0?ooo`0]0?ooo`03001Vo`3oool0oooo00?ooo`007`3o ool00`000000oooo0?ooo`0a0?ooo`03001Vo`3oool0oooo0=`0oooo00<00?oo0?ooo`3oool0o`3o oolC0?ooo`03003oIP3oool0oooo04/0oooo000O0?ooo`030000003oool0oooo0340oooo00<006Ko 0?ooo`3oool0g@3oool00`00ool0oooo0?ooo`3o0?oooa<0oooo00<00?mV0?ooo`3oool0BP3oool0 01l0oooo00<000000?ooo`3oool0<@3oool00`00I_l0oooo0?ooo`3N0?ooo`03003oo`3oool0oooo 0?l0oooo4`3oool2003oITX0oooo000O0?ooo`030000003oool0oooo0340oooo00<006Ko0?ooo`3o ool0gP3oool00`00ool0oooo0?ooo`3o0?oooaD0oooo00<00?mV0?ooo`3oool0A`3oool001l0oooo 00<000000?ooo`3oool0<@3oool00`00I_l0oooo0?ooo`3O0?ooo`03003oo`3oool0oooo0?l0oooo 5@3oool00`00ofH0oooo0?ooo`160?ooo`007`3oool400000300oooo00<006Ko0?ooo`3oool0h03o ool00`00ool0oooo0?ooo`3o0?oooaD0oooo0P00ofI60?ooo`007`3oool00`000000oooo0?ooo`0b 0?ooo`03001Vo`3oool0oooo0=l0oooo00<00?oo0?ooo`3oool0o`3ooolG0?ooo`03003oIP3oool0 oooo04<0oooo000O0?ooo`030000003oool0oooo0380oooo00<006Ko0?ooo`3oool0h03oool00`00 ool0oooo0?ooo`3o0?oooaL0oooo00<00?mV0?ooo`3oool0@P3oool001l0oooo00<000000?ooo`3o ool080oooo00<00?oo 0?ooo`3oool0o`3ooolJ0?ooo`800?mV?P3oool001l0oooo00<000000?ooo`3oool0P3oool000h0oooo00<0okmd04RLg`3oool00P3oool0 1@2LM9`0oooo0?ooo`2LB7@0_ooo00L0oooo00<000000?ooo`3oool00?ooo`060?noM018W=l0 oooo0?ooo`3ookl0M4RL0P3oool00`2oM4P0W=oo0?ooo`060?ooo`D00000<03oool00`00I_l0oooo 0?ooo`3U0?ooo`03003oo`3oool0oooo0?l0oooo7@3oool00`00ofH0oooo0?ooo`0g0?ooo`003P3o ool01P3o_g@0B9cO0?ooo`3oool0oono07A8W080oooo00<0_gA809cOo`3oool01P3oool00`000000 oooo0?ooo`0b0?ooo`03001Vo`3oool0oooo0>H0oooo00<00?oo0?ooo`3oool0o`3ooolM0?ooo`03 003oIP3oool0oooo03H0oooo000=0?ooo`0309a8M02o_g@0B9cO00<0oooo00D0W4Q809cOo`3ookl0 M01d0;ooo`070?ooo`030000003oool0oooo0380oooo00<006Ko0?ooo`3oool0iP3oool00`00ool0 oooo0?ooo`3o0?oooah0oooo00<00?mV0?ooo`3oool0=@3oool000d0oooo00<0okmd00000018W=l0 0`3oool0103ogi`0B0000000001d_ol80?ooo`030000003oool0oooo03<0oooo00<006Ko0?ooo`3o ool0iP3oool00`00ool0oooo0?ooo`3o0?oooah0oooo00<00?mV0?ooo`3oool0=03oool001l0oooo 00<000000?ooo`3oool0<`3oool00`00I_l0oooo0?ooo`3W0?ooo`03003oo`3oool0oooo0?l0oooo 7P3oool2003oIS@0oooo000O0?ooo`030000003oool0oooo03<0oooo00<006Ko0?ooo`3oool0i`3o ool00`00ool0oooo0?ooo`3o0?ooob00oooo00<00?mV0?ooo`3oool0<@3oool001l0oooo00<00000 0?ooo`3oool0<`3oool00`00I_l0oooo0?ooo`3X0?ooo`03003oo`3oool0oooo0?l0oooo803oool0 0`00ofH0oooo0?ooo`0`0?ooo`007`3oool00`000000oooo0?ooo`0c0?ooo`03001Vo`3oool0oooo 0>P0oooo00<00?oo0?ooo`3oool0o`3ooolQ0?ooo`03003oIP3oool0oooo02l0oooo000O0?ooo`03 0000003oool0oooo03<0oooo00<006Ko0?ooo`3oool0j@3oool00`00ool0oooo0?ooo`3o0?ooob40 oooo00<00?mV0?ooo`3oool0;P3oool001l0oooo00<000000?ooo`3oool0<`3oool00`00I_l0oooo 0?ooo`3Y0?ooo`03003oo`3oool0oooo0?l0oooo8P3oool2003oIRh0oooo000O0?ooo`@00000X0oooo00<00?oo 0?ooo`3oool0o`3ooolT0?ooo`03003oIP3oool0oooo02X0oooo000O0?ooo`030000003oool0oooo 03<0oooo00<006Ko0?ooo`3oool0j`3oool00`00ool0oooo0?ooo`3o0?ooob@0oooo00<00?mV0?oo o`3oool0:@3oool001l0oooo00<000000?ooo`3oool0<`3oool00`00I_l0oooo0?ooo`3[0?ooo`03 003oo`3oool0oooo0?l0oooo9@3oool00`00ofH0oooo0?ooo`0X0?ooo`007`3oool00`000000oooo 0?ooo`0c0?ooo`03001Vo`3oool0oooo0>`0oooo00<00?oo0?ooo`3oool0o`3ooolU0?ooo`800?mV :03oool001l0oooo00<000000?ooo`3oool0=03oool00`00I_l0oooo0?ooo`3/0?ooo`03003oo`3o ool0oooo0?l0oooo9P3oool00`00ofH0oooo0?ooo`0U0?ooo`007`3oool00`000000oooo0?ooo`0d 0?ooo`03001Vo`3oool0oooo0>`0oooo00<00?oo0?ooo`3oool0o`3ooolW0?ooo`03003oIP3oool0 oooo02@0oooo000O0?ooo`030000003oool0oooo03@0oooo00<006Ko0?ooo`3oool0k@3oool00`00 ool0oooo0?ooo`3o0?ooobL0oooo00<00?mV0?ooo`3oool08`3oool001l0oooo00<000000?ooo`3o ool0=03oool00`00I_l0oooo0?ooo`3]0?ooo`03003oo`3oool0oooo0?l0oooo:03oool00`00ofH0 oooo0?ooo`0R0?ooo`007`3oool4000003<0oooo00<006Ko0?ooo`3oool0kP3oool00`00ool0oooo 0?ooo`3o0?ooobP0oooo0P00ofHR0?ooo`007`3oool00`000000oooo0?ooo`0d0?ooo`03001Vo`3o ool0oooo0>h0oooo00<00?oo0?ooo`3oool0o`3ooolZ0?ooo`03003oIP3oool0oooo01l0oooo000O 0?ooo`030000003oool0oooo03@0oooo00<006Ko0?ooo`3oool0k`3oool00`00ool0oooo0?ooo`3o 0?ooobX0oooo00<00?mV0?ooo`3oool07P3oool001l0oooo00<000000?ooo`3oool0=03oool00`00 I_l0oooo0?ooo`3_0?ooo`03003oo`3oool0oooo0?l0oooo:`3oool00`00ofH0oooo0?ooo`0M0?oo o`007`3oool00`000000oooo0?ooo`0d0?ooo`03001Vo`3oool0oooo0?00oooo00<00?oo0?ooo`3o ool0o`3oool[0?ooo`03003oIP3oool0oooo01`0oooo000O0?ooo`030000003oool0oooo03@0oooo 00<006Ko0?ooo`3oool0l03oool00`00ool0oooo0?ooo`3o0?ooob`0oooo00<00?mV0?ooo`3oool0 6`3oool001l0oooo00<000000?ooo`3oool0=03oool00`00I_l0oooo0?ooo`3a0?ooo`03003oo`3o ool0oooo0?l0oooo;03oool00`00ofH0oooo0?ooo`0J0?ooo`007`3oool00`000000oooo0?ooo`0d 0?ooo`03001Vo`3oool0oooo0?40oooo00<00?oo0?ooo`3oool0o`3oool]0?ooo`03003oIP3oool0 oooo01T0oooo000O0?ooo`030000003oool0oooo03D0oooo00<006Ko0?ooo`3oool0l@3oool00`00 ool0oooo0?ooo`3o0?ooobd0oooo00<00?mV0?ooo`3oool0603oool001l0oooo00<000000?ooo`3o ool0=@3oool00`00I_l0oooo0?ooo`3a0?ooo`03003oo`3oool0oooo0?l0oooo;P3oool2003oIQP0 oooo000O0?ooo`@00000=03oool00`00I_l0oooo0?ooo`3b0?ooo`03003oo`3oool0oooo0?l0oooo ;`3oool00`00ofH0oooo0?ooo`0E0?ooo`007`3oool00`000000oooo0?ooo`0e0?ooo`03001Vo`3o ool0oooo0?80oooo00<00?oo0?ooo`3oool0o`3oool`0?ooo`03003oIP3oool0oooo01@0oooo000O 0?ooo`030000003oool0oooo03D0oooo00<006Ko0?ooo`3oool0l`3oool00`00ool0oooo0?ooo`3o 0?oooc00oooo00<00?mV0?ooo`3oool04`3oool001l0oooo00<000000?ooo`3oool0=@3oool00`00 I_l0oooo0?ooo`3c0?ooo`03003oo`3oool0oooo0?l0oooo<@3oool00`00ofH0oooo0?ooo`0B0?oo o`007`3oool00`000000oooo0?ooo`0e0?ooo`03001Vo`3oool0oooo0?@0oooo00<00?oo0?ooo`3o ool0o`3ooola0?ooo`03003oIP3oool0oooo0140oooo000O0?ooo`030000003oool0oooo03D0oooo 00<006Ko0?ooo`3oool0m03oool00`00ool0oooo0?ooo`3o0?oooc80oooo00<00?mV0?ooo`3oool0 403oool001l0oooo00<000000?ooo`3oool0=@3oool00`00I_l0oooo0?ooo`3e0?ooo`03003oo`3o ool0oooo0?l0oooo`3oool001l0oooo00<000000?ooo`3oool0=`3oool00`00I_l0oooo0?ooo`3l0?ooo`03003oo`3o ool0oooo0?l0oooo>`3oool001l0oooo00<000000?ooo`3oool0=`3oool00`00I_l0oooo0?ooo`3m 0?ooo`03003oo`3oool0oooo0?l0oooo>P3oool001l0oooo00<000000?ooo`3oool0=`3oool00`00 I_l0oooo0?ooo`3m0?ooo`03003oo`3oool0oooo0?l0oooo>P3oool001l0oooo00<000000?ooo`3o ool0=`3oool00`00I_l0oooo0?ooo`3n0?ooo`03003oo`3oool0oooo0?l0oooo>@3oool001l0oooo 1000000f0?ooo`03001Vo`3oool0oooo0?h0oooo00<00?oo0?ooo`3oool0o`3oooli0?ooo`007`3o ool00`000000oooo0?ooo`0g0?ooo`03001Vo`3oool0oooo0?l0oooo00<00?oo0?ooo`3oool0o`3o oolh0?ooo`007`3oool00`000000oooo0?ooo`0g0?ooo`03001Vo`3oool0oooo0?l0oooo00<00?oo 0?ooo`3oool0o`3ooolh0?ooo`007`3oool00`000000oooo0?ooo`0g0?ooo`03001Vo`3oool0oooo 0?l0oooo0@3oool00`00ool0oooo0?ooo`3o0?ooocL0oooo000O0?ooo`030000003oool0oooo03P0 oooo00<006Ko0?ooo`3oool0o`3oool00`00ool0oooo0?ooo`3o0?ooocL0oooo000O0?ooo`030000 003oool0oooo03P0oooo00<006Ko0?ooo`3oool0o`3oool10?ooo`03003oo`3oool0oooo0?l0oooo =P3oool001l0oooo00<000000?ooo`3oool0>03oool00`00I_l0oooo0?ooo`3o0?ooo`40oooo00<0 0?oo0?ooo`3oool0o`3ooolf0?ooo`007`3oool00`000000oooo0?ooo`0h0?ooo`03001Vo`3oool0 oooo0?l0oooo0P3oool00`00ool0oooo0?ooo`3o0?ooocD0oooo000O0?ooo`030000003oool0oooo 03P0oooo00<006Ko0?ooo`3oool0o`3oool20?ooo`03003oo`3oool0oooo0?l0oooo=@3oool001l0 oooo1000000g0?ooo`03001Vo`3oool0oooo0?l0oooo0`3oool00`00ool0oooo0?ooo`3o0?oooc@0 oooo000O0?ooo`030000003oool0oooo03P0oooo00<006Ko0?ooo`3oool0o`3oool30?ooo`03003o o`3oool0oooo0?l0oooo=03oool001l0oooo00<000000?ooo`3oool0>03oool00`00I_l0oooo0?oo o`3o0?ooo`@0oooo00<00?oo0?ooo`3oool0o`3ooolc0?ooo`007`3oool00`000000oooo0?ooo`0h 0?ooo`03001Vo`3oool0oooo0?l0oooo103oool00`00ool0oooo0?ooo`3o0?oooc<0oooo000O0?oo o`030000003oool0oooo03P0oooo00<006Ko0?ooo`3oool0o`3oool50?ooo`03003oo`3oool0oooo 0?l0oooo03oool00`00I_l0oooo0?ooo`3o0?ooo`D0 oooo00<00?oo0?ooo`3oool0o`3ooolb0?ooo`007`3oool00`000000oooo0?ooo`0h0?ooo`03001V o`3oool0oooo0?l0oooo1P3oool00`00ool0oooo0?ooo`3o0?oooc40oooo000O0?ooo`030000003o ool0oooo03T0oooo00<006Ko0?ooo`3oool0o`3oool50?ooo`03003oo`3oool0oooo0?l0oooo<@3o ool001l0oooo00<000000?ooo`3oool0>@3oool00`00I_l0oooo0?ooo`3o0?ooo`H0oooo00<00?oo 0?ooo`3oool0o`3oool`0?ooo`007`3oool00`000000oooo0?ooo`0i0?ooo`03001Vo`3oool0oooo 0?l0oooo1P3oool00`00ool0oooo0?ooo`3o0?oooc00oooo000O0?ooo`@00000>03oool00`00I_l0 oooo0?ooo`3o0?ooo`H0oooo00<00?oo0?ooo`3oool0o`3oool`0?ooo`007`3oool00`000000oooo 0?ooo`0i0?ooo`03001Vo`3oool0oooo0?l0oooo1`3oool00`00ool0oooo0?ooo`3o0?ooobl0oooo 000O0?ooo`030000003oool0oooo03T0oooo00<006Ko0?ooo`3oool0o`3oool70?ooo`03003oo`3o ool0oooo0?l0oooo;`3oool001l0oooo00<000000?ooo`3oool0>@3oool00`00I_l0oooo0?ooo`3o 0?ooo`P0oooo00<00?oo0?ooo`3oool0o`3oool^0?ooo`007`3oool00`000000oooo0?ooo`0i0?oo o`03001Vo`3oool0oooo0?l0oooo203oool00`00ool0oooo0?ooo`3o0?ooobh0oooo000O0?ooo`03 0000003oool0oooo03T0oooo00<006Ko0?ooo`3oool0o`3oool80?ooo`03003oo`3oool0oooo0?l0 oooo;P3oool001l0oooo00<000000?ooo`3oool0>@3oool00`00I_l0oooo0?ooo`3o0?ooo`T0oooo 00<00?oo0?ooo`3oool0o`3oool]0?ooo`007`3oool00`000000oooo0?ooo`0i0?ooo`03001Vo`3o ool0oooo0?l0oooo2@3oool00`00ool0oooo0?ooo`3o0?ooobd0oooo000O0?ooo`030000003oool0 oooo03T0oooo00<006Ko0?ooo`3oool0o`3oool:0?ooo`03003oo`3oool0oooo0?l0oooo;03oool0 01l0oooo1000000i0?ooo`03001Vo`3oool0oooo0?l0oooo2@3oool00`00ool0oooo0?ooo`3o0?oo ob`0oooo000O0?ooo`030000003oool0oooo03X0oooo00<006Ko0?ooo`3oool0o`3oool:0?ooo`03 003oo`3oool0oooo0?l0oooo:`3oool001l0oooo00<000000?ooo`3oool0>P3oool00`00I_l0oooo 0?ooo`3o0?ooo`X0oooo00<00?oo0?ooo`3oool0o`3oool[0?ooo`007`3oool00`000000oooo0?oo o`0j0?ooo`03001Vo`3oool0oooo0?l0oooo2P3oool00`00ool0oooo0?ooo`3o0?ooob/0oooo000O 0?ooo`030000003oool0oooo03X0oooo00<006Ko0?ooo`3oool0o`3oool;0?ooo`03003oo`3oool0 oooo0?l0oooo:P3oool001l0oooo00<000000?ooo`3oool0>P3oool00`00I_l0oooo0?ooo`3o0?oo o`/0oooo00<00?oo0?ooo`3oool0o`3ooolZ0?ooo`007`3oool00`000000oooo0?ooo`0j0?ooo`03 001Vo`3oool0oooo0?l0oooo303oool00`00ool0oooo0?ooo`3o0?ooobT0oooo000O0?ooo`030000 003oool0oooo03X0oooo00<006Ko0?ooo`3oool0o`3oool<0?ooo`03003oo`3oool0oooo0?l0oooo :@3oool000`0oooo00P0oono07@00000000000000000B02Lgol0oooo0=nLB080000000<0B9cO0?oo o`3oool01P3oool00`000000oooo0?ooo`0j0?ooo`03001Vo`3oool0oooo0?l0oooo303oool00`00 ool0oooo0?ooo`3o0?ooobT0oooo000>0?ooo`060?noM018W=l0oooo0?ooo`3ogi`0B4RL0P3oool0 0`2LB4P0W=oo0?ooo`060?ooo`030000003oool0oooo03X0oooo00<006Ko0?ooo`3oool0o`3oool= 0?ooo`03003oo`3oool0oooo0?l0oooo:03oool000h0oooo00<0okmd04RLg`3oool01@3oool00`2o M4P0W=oo0?ooo`060?ooo`D00000>03oool00`00I_l0oooo0?ooo`3o0?ooo`d0oooo00<00?oo0?oo o`3oool0o`3ooolX0?ooo`003P3oool00`3o_g@0B9cO0?ooo`020?ooo`040;md000000000000001d _`P0oooo00<000000?ooo`3oool0>P3oool00`00I_l0oooo0?ooo`3o0?ooo`h0oooo00<00?oo0?oo o`3oool0o`3ooolW0?ooo`003@3oool00`2LB7@0_kmd04RLg`030?ooo`030;mdB02Lgol0oooo00T0 oooo00<000000?ooo`3oool0>`3oool00`00I_l0oooo0?ooo`3o0?ooo`d0oooo00<00?oo0?ooo`3o ool0o`3ooolW0?ooo`003@3oool00`3o_g@0000004RLg`030?ooo`040;md000000000000001d_`P0 oooo00<000000?ooo`3oool0>`3oool00`00I_l0oooo0?ooo`3o0?ooo`h0oooo00<00?oo0?ooo`3o ool0o`3ooolV0?ooo`007`3oool00`000000oooo0?ooo`0k0?ooo`03001Vo`3oool0oooo0?l0oooo 3P3oool00`00ool0oooo0?ooo`3o0?ooobH0oooo000O0?ooo`030000003oool0oooo03/0oooo00<0 06Ko0?ooo`3oool0o`3oool>0?ooo`03003oo`3oool0oooo0?l0oooo9P3oool001l0oooo00<00000 0?ooo`3oool0>`3oool00`00I_l0oooo0?ooo`3o0?ooo`l0oooo00<00?oo0?ooo`3oool0o`3ooolU 0?ooo`007`3oool00`000000oooo0?ooo`0k0?ooo`03001Vo`3oool0oooo0?l0oooo3`3oool00`00 ool0oooo0?ooo`3o0?ooobD0oooo000O0?ooo`030000003oool0oooo03/0oooo00<006Ko0?ooo`3o ool0o`3oool@0?ooo`03003oo`3oool0oooo0?l0oooo903oool001l0oooo00<000000?ooo`3oool0 >`3oool00`00I_l0oooo0?ooo`3o0?oooa00oooo00<00?oo0?ooo`3oool0o`3ooolT0?ooo`007`3o ool4000003X0oooo00<006Ko0?ooo`3oool0o`3oool@0?ooo`03003oo`3oool0oooo0?l0oooo903o ool001l0oooo00<000000?ooo`3oool0>`3oool00`00I_l0oooo0?ooo`3o0?oooa40oooo00<00?oo 0?ooo`3oool0o`3ooolS0?ooo`007`3oool00`000000oooo0?ooo`0k0?ooo`03001Vo`3oool0oooo 0?l0oooo4@3oool00`00ool0oooo0?ooo`3o0?ooob<0oooo000O0?ooo`030000003oool0oooo03/0 oooo00<006Ko0?ooo`3oool0o`3ooolB0?ooo`03003oo`3oool0oooo0?l0oooo8P3oool001l0oooo 00<000000?ooo`3oool0?03oool00`00I_l0oooo0?ooo`3o0?oooa40oooo00<00?oo0?ooo`3oool0 o`3ooolR0?ooo`007`3oool00`000000oooo0?ooo`0l0?ooo`03001Vo`3oool0oooo0?l0oooo4@3o ool00`00ool0oooo0?ooo`3o0?ooob80oooo000O0?ooo`030000003oool0oooo03`0oooo00<006Ko 0?ooo`3oool0o`3ooolB0?ooo`03003oo`3oool0oooo0?l0oooo8@3oool001l0oooo00<000000?oo o`3oool0?03oool00`00I_l0oooo0?ooo`3o0?oooa80oooo00<00?oo0?ooo`3oool0o`3ooolQ0?oo o`007`3oool00`000000oooo0?ooo`0l0?ooo`03001Vo`3oool0oooo0?l0oooo4`3oool00`00ool0 oooo0?ooo`3o0?ooob00oooo000O0?ooo`@00000>`3oool00`00I_l0oooo0?ooo`3o0?oooa<0oooo 00<00?oo0?ooo`3oool0o`3ooolP0?ooo`007`3oool00`000000oooo0?ooo`0l0?ooo`03001Vo`3o ool0oooo0?l0oooo4`3oool00`00ool0oooo0?ooo`3o0?ooob00oooo000O0?ooo`030000003oool0 oooo03`0oooo00<006Ko0?ooo`3oool0o`3ooolD0?ooo`03003oo`3oool0oooo0?l0oooo7`3oool0 01l0oooo00<000000?ooo`3oool0?03oool00`00I_l0oooo0?ooo`3o0?oooa@0oooo00<00?oo0?oo o`3oool0o`3ooolO0?ooo`007`3oool00`000000oooo0?ooo`0l0?ooo`03001Vo`3oool0oooo0?l0 oooo5@3oool00`00ool0oooo0?ooo`3o0?oooah0oooo000O0?ooo`030000003oool0oooo03`0oooo 00<006Ko0?ooo`3oool0o`3ooolE0?ooo`03003oo`3oool0oooo0?l0oooo7P3oool001l0oooo00<0 00000?ooo`3oool0?03oool00`00I_l0oooo0?ooo`3o0?oooaD0oooo00<00?oo0?ooo`3oool0o`3o oolN0?ooo`007`3oool00`000000oooo0?ooo`0l0?ooo`03001Vo`3oool0oooo0?l0oooo5P3oool0 0`00ool0oooo0?ooo`3o0?oooad0oooo000O0?ooo`030000003oool0oooo03`0oooo00<006Ko0?oo o`3oool0o`3ooolF0?ooo`03003oo`3oool0oooo0?l0oooo7@3oool001l0oooo00<000000?ooo`3o ool0?03oool00`00I_l0oooo0?ooo`3o0?oooaH0oooo00<00?oo0?ooo`3oool0o`3ooolM0?ooo`00 7`3oool4000003/0oooo00<006Ko0?ooo`3oool0o`3ooolG0?ooo`03003oo`3oool0oooo0?l0oooo 703oool001l0oooo00<000000?ooo`3oool0?03oool00`00I_l0oooo0?ooo`3o0?oooaL0oooo00<0 0?oo0?ooo`3oool0o`3ooolL0?ooo`007`3oool00`000000oooo0?ooo`0l0?ooo`03001Vo`3oool0 oooo0?l0oooo603oool00`00ool0oooo0?ooo`3o0?oooa/0oooo000O0?ooo`030000003oool0oooo 03d0oooo00<006Ko0?ooo`3oool0o`3ooolG0?ooo`03003oo`3oool0oooo0?l0oooo6`3oool001l0 oooo00<000000?ooo`3oool0?@3oool00`00I_l0oooo0?ooo`3o0?oooaL0oooo00<00?oo0?ooo`3o ool0o`3ooolK0?ooo`007`3oool00`000000oooo0?ooo`0m0?ooo`03001Vo`3oool0oooo0?l0oooo 603oool00`00ool0oooo0?ooo`3o0?oooaX0oooo000O0?ooo`030000003oool0oooo03d0oooo00<0 06Ko0?ooo`3oool0o`3ooolH0?ooo`03003oo`3oool0oooo0?l0oooo6P3oool001l0oooo00<00000 0?ooo`3oool0?@3oool00`00I_l0oooo0?ooo`3o0?oooaT0oooo00<00?oo0?ooo`3oool0o`3ooolI 0?ooo`007`3oool00`000000oooo0?ooo`0m0?ooo`03001Vo`3oool0oooo0?l0oooo6@3oool00`00 ool0oooo0?ooo`3o0?oooaT0oooo000O0?ooo`030000003oool0oooo03d0oooo00<006Ko0?ooo`3o ool0o`3ooolI0?ooo`03003oo`3oool0oooo0?l0oooo6@3oool001l0oooo1000000l0?ooo`03001V o`3oool0oooo0?l0oooo6P3oool00`00ool0oooo0?ooo`3o0?oooaP0oooo000O0?ooo`030000003o ool0oooo03d0oooo00<006Ko0?ooo`3oool0o`3ooolJ0?ooo`03003oo`3oool0oooo0?l0oooo603o ool001l0oooo00<000000?ooo`3oool0?@3oool00`00I_l0oooo0?ooo`3o0?oooa/0oooo00<00?oo 0?ooo`3oool0o`3ooolG0?ooo`007`3oool00`000000oooo0?ooo`0m0?ooo`03001Vo`3oool0oooo 0?l0oooo6`3oool00`00ool0oooo0?ooo`3o0?oooaL0oooo000O0?ooo`030000003oool0oooo03d0 oooo00<006Ko0?ooo`3oool0o`3ooolK0?ooo`03003oo`3oool0oooo0?l0oooo5`3oool001l0oooo 00<000000?ooo`3oool0?@3oool00`00I_l0oooo0?ooo`3o0?oooa`0oooo00<00?oo0?ooo`3oool0 o`3ooolF0?ooo`007`3oool00`000000oooo0?ooo`0m0?ooo`03001Vo`3oool0oooo0?l0oooo703o ool00`00ool0oooo0?ooo`3o0?oooaH0oooo00001P3ookl0M000000000000000001809cOo`80oooo 00<0gia807Boo`3oool00P3oool00`3ookl0M0000018W0030?ooo`040=nLB0000000000004RLg`P0 oooo00<000000?ooo`3oool0?@3oool00`00I_l0oooo0?ooo`3o0?oooa`0oooo00<00?oo0?ooo`3o ool0o`3ooolF0?ooo`000P3oool00`3o_g@0B9cO0?ooo`030?ooo`030?oo_`1dM;l0oooo00L0oooo 00H0omnL04Q8W03oool0oooo09a8B02Lgol70?ooo`030000003oool0oooo03d0oooo00<006Ko0?oo o`3oool0o`3ooolM0?ooo`03003oo`3oool0oooo0?l0oooo5@3oool00080oooo00<0okmd04RLg`3o ool0103oool00`2oM7@0_ooo0?ooo`0:0?ooo`030;mdB02Lgol0oooo00H0oooo1@00000k0?ooo`03 001Vo`3oool0oooo0?l0oooo7@3oool00`00ool0oooo0?ooo`3o0?oooaD0oooo00020?ooo`030?no M018W=l0oooo00@0oooo00<0okmd04RLg`3oool01`3oool0102oM000000000000000M;l80?ooo`03 0000003oool0oooo03d0oooo00<006Ko0?ooo`3oool0o`3ooolM0?ooo`03003oo`3oool0oooo0?l0 oooo5@3oool000040?ooo`2LB7@0_kmd04RLg`80oooo00D0omnL04Qd_`3oool0oono07A8W0080?oo o`030;mdB02Lgol0oooo00T0oooo00<000000?ooo`3oool0?@3oool00`00I_l0oooo0?ooo`3o0?oo oah0oooo00<00?oo0?ooo`3oool0o`3ooolD0?ooo`0000@0oooo0?noM0000000B9cO0P3oool01P3o gi`0B000000000000000001d0;ooo`L0oooo00@0_g@000000000000007Bo203oool00`000000oooo 0?ooo`0m0?ooo`03001Vo`3oool0oooo0?l0oooo7P3oool00`00ool0oooo0?ooo`3o0?oooa@0oooo 000O0?ooo`030000003oool0oooo03d0oooo00<006Ko0?ooo`3oool0o`3ooolN0?ooo`03003oo`3o ool0oooo0?l0oooo503oool001l0oooo00<000000?ooo`3oool0?@3oool00`00I_l0oooo0?ooo`3o 0?oooal0oooo00<00?oo0?ooo`3oool0o`3ooolC0?ooo`007`3oool00`000000oooo0?ooo`0m0?oo o`03001Vo`3oool0oooo0?l0oooo7`3oool00`00ool0oooo0?ooo`3o0?oooa<0oooo000O0?ooo`03 0000003oool0oooo03d0oooo00<006Ko0?ooo`3oool0o`3ooolO0?ooo`03003oo`3oool0oooo0?l0 oooo4`3oool001l0oooo00<000000?ooo`3oool0?@3oool00`00I_l0oooo0?ooo`3o0?ooob00oooo 00<00?oo0?ooo`3oool0o`3ooolB0?ooo`007`3oool00`000000oooo0?ooo`0m0?ooo`03001Vo`3o ool0oooo0?l0oooo803oool00`00ool0oooo0?ooo`3o0?oooa80oooo000O0?ooo`@00000?@3oool0 0`00I_l0oooo0?ooo`3o0?oooal0oooo00<00?oo0?ooo`3oool0o`3ooolB0?ooo`007`3oool00`00 0000oooo0?ooo`0n0?ooo`03001Vo`3oool0oooo0?l0oooo803oool00`00ool0oooo0?ooo`3o0?oo oa40oooo000O0?ooo`030000003oool0oooo03h0oooo00<006Ko0?ooo`3oool0o`3ooolP0?ooo`03 003oo`3oool0oooo0?l0oooo4@3oool001l0oooo00<000000?ooo`3oool0?P3oool00`00I_l0oooo 0?ooo`3o0?ooob00oooo00<00?oo0?ooo`3oool0o`3ooolA0?ooo`007`3oool00`000000oooo0?oo o`0n0?ooo`03001Vo`3oool0oooo0?l0oooo803oool00`00ool0oooo0?ooo`3o0?oooa40oooo000O 0?ooo`030000003oool0oooo03h0oooo00<006Ko0?ooo`3oool0o`3ooolQ0?ooo`03003oo`3oool0 oooo0?l0oooo403oool001l0oooo00<000000?ooo`3oool0?P3oool00`00I_l0oooo0?ooo`3o0?oo ob40oooo00<00?oo0?ooo`3oool0o`3oool@0?ooo`007`3oool00`000000oooo0?ooo`0n0?ooo`03 001Vo`3oool0oooo0?l0oooo8@3oool00`00ool0oooo0?ooo`3o0?oooa00oooo000O0?ooo`030000 003oool0oooo03h0oooo00<006Ko0?ooo`3oool0o`3ooolR0?ooo`03003oo`3oool0oooo0?l0oooo 3`3oool001l0oooo1000000m0?ooo`03001Vo`3oool0oooo0?l0oooo8P3oool00`00ool0oooo0?oo o`3o0?ooo`l0oooo000O0?ooo`030000003oool0oooo03h0oooo00<006Ko0?ooo`3oool0o`3ooolR 0?ooo`03003oo`3oool0oooo0?l0oooo3`3oool001l0oooo00<000000?ooo`3oool0?P3oool00`00 I_l0oooo0?ooo`3o0?ooob<0oooo00<00?oo0?ooo`3oool0o`3oool>0?ooo`007`3oool00`000000 oooo0?ooo`0n0?ooo`03001Vo`3oool0oooo0?l0oooo8`3oool00`00ool0oooo0?ooo`3o0?ooo`h0 oooo000O0?ooo`030000003oool0oooo03h0oooo00<006Ko0?ooo`3oool0o`3ooolS0?ooo`03003o o`3oool0oooo0?l0oooo3P3oool001l0oooo00<000000?ooo`3oool0?P3oool00`00I_l0oooo0?oo o`3o0?ooob@0oooo00<00?oo0?ooo`3oool0o`3oool=0?ooo`007`3oool00`000000oooo0?ooo`0n 0?ooo`03001Vo`3oool0oooo0?l0oooo903oool00`00ool0oooo0?ooo`3o0?ooo`d0oooo000O0?oo o`030000003oool0oooo03h0oooo00<006Ko0?ooo`3oool0o`3ooolT0?ooo`03003oo`3oool0oooo 0?l0oooo3@3oool001l0oooo00<000000?ooo`3oool0?P3oool00`00I_l0oooo0?ooo`3o0?ooobD0 oooo00<00?oo0?ooo`3oool0o`3oool<0?ooo`007`3oool00`000000oooo0?ooo`0n0?ooo`03001V o`3oool0oooo0?l0oooo9@3oool00`00ool0oooo0?ooo`3o0?ooo``0oooo000O0?ooo`@00000?@3o ool00`00I_l0oooo0?ooo`3o0?ooobD0oooo00<00?oo0?ooo`3oool0o`3oool<0?ooo`007`3oool0 0`000000oooo0?ooo`0n0?ooo`03001Vo`3oool0oooo0?l0oooo9P3oool00`00ool0oooo0?ooo`3o 0?ooo`/0oooo000O0?ooo`030000003oool0oooo03h0oooo00<006Ko0?ooo`3oool0o`3ooolV0?oo o`03003oo`3oool0oooo0?l0oooo2`3oool001l0oooo00<000000?ooo`3oool0?P3oool00`00I_l0 oooo0?ooo`3o0?ooobH0oooo00<00?oo0?ooo`3oool0o`3oool;0?ooo`007`3oool00`000000oooo 0?ooo`0n0?ooo`03001Vo`3oool0oooo0?l0oooo9`3oool00`00ool0oooo0?ooo`3o0?ooo`X0oooo 000O0?ooo`030000003oool0oooo03h0oooo00<006Ko0?ooo`3oool0o`3ooolW0?ooo`03003oo`3o ool0oooo0?l0oooo2P3oool001l0oooo00<000000?ooo`3oool0?P3oool00`00I_l0oooo0?ooo`3o 0?ooobL0oooo00<00?oo0?ooo`3oool0o`3oool:0?ooo`007`3oool00`000000oooo0?ooo`0o0?oo o`03001Vo`3oool0oooo0?l0oooo9P3oool00`00ool0oooo0?ooo`3o0?ooo`X0oooo000O0?ooo`03 0000003oool0oooo03l0oooo00<006Ko0?ooo`3oool0o`3ooolW0?ooo`03003oo`3oool0oooo0?l0 oooo2@3oool001l0oooo00<000000?ooo`3oool0?`3oool00`00I_l0oooo0?ooo`3o0?ooobL0oooo 00<00?oo0?ooo`3oool0o`3oool90?ooo`007`3oool4000003h0oooo00<006Ko0?ooo`3oool0o`3o oolW0?ooo`03003oo`3oool0oooo0?l0oooo2@3oool001l0oooo00<000000?ooo`3oool0?`3oool0 0`00I_l0oooo0?ooo`3o0?ooobP0oooo00<00?oo0?ooo`3oool0o`3oool80?ooo`007`3oool00`00 0000oooo0?ooo`0o0?ooo`03001Vo`3oool0oooo0?l0oooo:03oool00`00ool0oooo0?ooo`3o0?oo o`P0oooo000O0?ooo`030000003oool0oooo03l0oooo00<006Ko0?ooo`3oool0o`3ooolX0?ooo`03 003oo`3oool0oooo0?l0oooo203oool001l0oooo00<000000?ooo`3oool0?`3oool00`00I_l0oooo 0?ooo`3o0?ooobT0oooo00<00?oo0?ooo`3oool0o`3oool70?ooo`007`3oool00`000000oooo0?oo o`0o0?ooo`03001Vo`3oool0oooo0?l0oooo:@3oool00`00ool0oooo0?ooo`3o0?ooo`L0oooo000O 0?ooo`030000003oool0oooo03l0oooo00<006Ko0?ooo`3oool0o`3ooolY0?ooo`03003oo`3oool0 oooo0?l0oooo1`3oool000`0oooo00P0okmd00000000000000000000M02oool0oooo0=nLB0800000 00<0B9cO0?ooo`3oool01P3oool00`000000oooo0?ooo`0o0?ooo`03001Vo`3oool0oooo0?l0oooo :@3oool00`00ool0oooo0?ooo`3o0?ooo`L0oooo000=0?ooo`0309a8000007@0_ooo00<0oooo00D0 W7BL0?ooo`3oool0W4Qd0;ooo`070?ooo`030000003oool0oooo03l0oooo00<006Ko0?ooo`3oool0 o`3ooolZ0?ooo`03003oo`3oool0oooo0?l0oooo1P3oool000h0oooo00H0okmd0000001d_ol0oooo 0?oo_`1dB9`20?ooo`030;mdB02Lgol0oooo00H0oooo1@00000m0?ooo`03001Vo`3oool0oooo0?l0 oooo:P3oool00`00ool0oooo0?ooo`3o0?ooo`H0oooo000?0?ooo`050?oo_`2o_ol0oooo0?oo_`1d B9`00P3oool00`2oM4P0W=oo0?ooo`3o0?ooool0ooooOP3oool000`0oooo00`0omnL04Q8W03oool0 oono07@0M02oool0oooo09a8B02Lgol0oono07@0M02ooooo0?ooool0ooooO`3oool000d0oooo00@0 gia8000000000000B9cO0P3oool0103ogi`0B0000000001d_ooo0?ooool0ooooP03oool00?l0oooo o`3ooonG0?ooo`00o`3ooooo0?oooiL0oooo0000\ \>"], ImageRangeCache->{{{0, 660}, {407.375, 0}} -> {-2.55384, -0.912872, \ 0.0803579, 0.0520088}}], Cell[BoxData[ \(\(\(\[IndentingNewLine]\)\(\(PlotExp31r\ = \ ListPlot[ exp31[\([3]\)], \ {PlotRange \[Rule] {{0, \ 50}, \ {0, \ 20}}, PlotJoined \[Rule] True, PlotStyle \[Rule] Hue[0.1]}];\)\[IndentingNewLine] \(PlotExp32r\ = \ ListPlot[ exp32[\([3]\)], \ {PlotRange \[Rule] {{0, \ 50}, \ {0, \ 20}}, PlotJoined \[Rule] True, PlotStyle \[Rule] Hue[0.2]}];\)\[IndentingNewLine] \(PlotExp33r\ = \ ListPlot[ exp33[\([3]\)], \ {PlotRange \[Rule] {{0, \ 50}, \ {0, \ 20}}, PlotJoined \[Rule] True, PlotStyle \[Rule] Hue[0.3]}];\)\[IndentingNewLine] \(PlotExp34r\ = \ ListPlot[ exp34[\([3]\)], \ {PlotRange \[Rule] {{0, \ 50}, \ {0, \ 20}}, PlotJoined \[Rule] True, PlotStyle \[Rule] Hue[0.4]}];\)\[IndentingNewLine] \(PlotExp35r\ = \ ListPlot[ exp35[\([3]\)], \ {PlotRange \[Rule] {{0, \ 50}, \ {0, \ 20}}, PlotJoined \[Rule] True, PlotStyle \[Rule] Hue[0.5]}];\)\[IndentingNewLine] \(PlotExp36r\ = \ ListPlot[ exp36[\([3]\)], \ {PlotRange \[Rule] {{0, \ 50}, \ {0, \ 20}}, PlotJoined \[Rule] True, PlotStyle \[Rule] Hue[0.6]}];\)\[IndentingNewLine] Show[{PlotExp31r, \ PlotExp32r, \ PlotExp33r, \ PlotExp34r, \ PlotExp35r, \ PlotExp36r}]\)\)\)], "Input"], Cell["\<\ The Gauss-Seidl method's behavior in its residuals appears to mimic closely \ that of Jacobi, but its behavior is simply faster in whatever it does. \ (Redder colors correspond to larger alpha). Shown below is residual norms \ versus iteration.\ \>", "Text"], Cell[GraphicsData["PostScript", "\<\ %! %%Creator: Mathematica %%AspectRatio: .61803 MathPictureStart /Mabs { Mgmatrix idtransform Mtmatrix dtransform } bind def /Mabsadd { Mabs 3 -1 roll add 3 1 roll add exch } bind def %% Graphics %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10 scalefont setfont % Scaling calculations -1.04083e-017 0.02 0 0.0309017 [ [.2 -0.0125 -6 -9 ] [.2 -0.0125 6 0 ] [.4 -0.0125 -6 -9 ] [.4 -0.0125 6 0 ] [.6 -0.0125 -6 -9 ] [.6 -0.0125 6 0 ] [.8 -0.0125 -6 -9 ] [.8 -0.0125 6 0 ] [1 -0.0125 -6 -9 ] [1 -0.0125 6 0 ] [-0.0125 .07725 -18 -4.5 ] [-0.0125 .07725 0 4.5 ] [-0.0125 .15451 -6 -4.5 ] [-0.0125 .15451 0 4.5 ] [-0.0125 .23176 -18 -4.5 ] [-0.0125 .23176 0 4.5 ] [-0.0125 .30902 -12 -4.5 ] [-0.0125 .30902 0 4.5 ] [-0.0125 .38627 -24 -4.5 ] [-0.0125 .38627 0 4.5 ] [-0.0125 .46353 -12 -4.5 ] [-0.0125 .46353 0 4.5 ] [-0.0125 .54078 -24 -4.5 ] [-0.0125 .54078 0 4.5 ] [-0.0125 .61803 -12 -4.5 ] [-0.0125 .61803 0 4.5 ] [ 0 0 0 0 ] [ 1 .61803 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath 0 g .25 Mabswid [ ] 0 setdash .2 0 m .2 .00625 L s [(10)] .2 -0.0125 0 1 Mshowa .4 0 m .4 .00625 L s [(20)] .4 -0.0125 0 1 Mshowa .6 0 m .6 .00625 L s [(30)] .6 -0.0125 0 1 Mshowa .8 0 m .8 .00625 L s [(40)] .8 -0.0125 0 1 Mshowa 1 0 m 1 .00625 L s [(50)] 1 -0.0125 0 1 Mshowa .125 Mabswid .04 0 m .04 .00375 L s .08 0 m .08 .00375 L s .12 0 m .12 .00375 L s .16 0 m .16 .00375 L s .24 0 m .24 .00375 L s .28 0 m .28 .00375 L s .32 0 m .32 .00375 L s .36 0 m .36 .00375 L s .44 0 m .44 .00375 L s .48 0 m .48 .00375 L s .52 0 m .52 .00375 L s .56 0 m .56 .00375 L s .64 0 m .64 .00375 L s .68 0 m .68 .00375 L s .72 0 m .72 .00375 L s .76 0 m .76 .00375 L s .84 0 m .84 .00375 L s .88 0 m .88 .00375 L s .92 0 m .92 .00375 L s .96 0 m .96 .00375 L s .25 Mabswid 0 0 m 1 0 L s 0 .07725 m .00625 .07725 L s [(2.5)] -0.0125 .07725 1 0 Mshowa 0 .15451 m .00625 .15451 L s [(5)] -0.0125 .15451 1 0 Mshowa 0 .23176 m .00625 .23176 L s [(7.5)] -0.0125 .23176 1 0 Mshowa 0 .30902 m .00625 .30902 L s [(10)] -0.0125 .30902 1 0 Mshowa 0 .38627 m .00625 .38627 L s [(12.5)] -0.0125 .38627 1 0 Mshowa 0 .46353 m .00625 .46353 L s [(15)] -0.0125 .46353 1 0 Mshowa 0 .54078 m .00625 .54078 L s [(17.5)] -0.0125 .54078 1 0 Mshowa 0 .61803 m .00625 .61803 L s [(20)] -0.0125 .61803 1 0 Mshowa .125 Mabswid 0 .01545 m .00375 .01545 L s 0 .0309 m .00375 .0309 L s 0 .04635 m .00375 .04635 L s 0 .0618 m .00375 .0618 L s 0 .09271 m .00375 .09271 L s 0 .10816 m .00375 .10816 L s 0 .12361 m .00375 .12361 L s 0 .13906 m .00375 .13906 L s 0 .16996 m .00375 .16996 L s 0 .18541 m .00375 .18541 L s 0 .20086 m .00375 .20086 L s 0 .21631 m .00375 .21631 L s 0 .24721 m .00375 .24721 L s 0 .26266 m .00375 .26266 L s 0 .27812 m .00375 .27812 L s 0 .29357 m .00375 .29357 L s 0 .32447 m .00375 .32447 L s 0 .33992 m .00375 .33992 L s 0 .35537 m .00375 .35537 L s 0 .37082 m .00375 .37082 L s 0 .40172 m .00375 .40172 L s 0 .41717 m .00375 .41717 L s 0 .43262 m .00375 .43262 L s 0 .44807 m .00375 .44807 L s 0 .47898 m .00375 .47898 L s 0 .49443 m .00375 .49443 L s 0 .50988 m .00375 .50988 L s 0 .52533 m .00375 .52533 L s 0 .55623 m .00375 .55623 L s 0 .57168 m .00375 .57168 L s 0 .58713 m .00375 .58713 L s 0 .60258 m .00375 .60258 L s .25 Mabswid 0 0 m 0 .61803 L s 0 0 m 1 0 L 1 .61803 L 0 .61803 L closepath clip newpath 1 .6 0 r .5 Mabswid .02 .0309 m .04 .01545 L .06 .00801 L .08 .00521 L .1 .00317 L .12 .00185 L .14 .00105 L .16 .00059 L .18 .00033 L .2 .00018 L .22 .0001 L .24 5e-005 L .26 3e-005 L .28 2e-005 L .3 1e-005 L .32 0 L .34 0 L .36 0 L .38 0 L .4 0 L .42 0 L .44 0 L .46 0 L .48 0 L .5 0 L .52 0 L .54 0 L .56 0 L .58 0 L .6 0 L .62 0 L .64 0 L .66 0 L .68 0 L .7 0 L .72 0 L .74 0 L .76 0 L .78 0 L .8 0 L .82 0 L .84 0 L .86 0 L .88 0 L .9 0 L .92 0 L .94 0 L .96 0 L .98 0 L 1 0 L Mistroke Mfstroke 1 0 m 1 0 L s .8 1 0 r .02 0 m .04 0 L .06 0 L .08 0 L .1 0 L .12 0 L .14 0 L .16 0 L .18 0 L .2 0 L .22 0 L .24 0 L .26 0 L .28 0 L .3 0 L .32 0 L .34 0 L .36 0 L .38 0 L .4 0 L .42 0 L .44 0 L .46 0 L .48 0 L .5 0 L .52 0 L .54 0 L .56 0 L .58 0 L .6 0 L .62 0 L .64 0 L .66 0 L .68 0 L .7 0 L .72 0 L .74 0 L .76 0 L .78 0 L .8 0 L .82 0 L .84 0 L .86 0 L .88 0 L .9 0 L .92 0 L .94 0 L .96 0 L .98 0 L 1 0 L Mistroke Mfstroke .2 1 0 r .02 .00031 m .04 .00031 L .06 .00032 L .08 .00032 L .1 .00032 L .12 .00032 L .14 .00033 L .16 .00033 L .18 .00033 L .2 .00034 L .22 .00034 L .24 .00035 L .26 .00035 L .28 .00035 L .3 .00036 L .32 .00036 L .34 .00036 L .36 .00037 L .38 .00037 L .4 .00037 L .42 .00038 L .44 .00038 L .46 .00039 L .48 .00039 L .5 .00039 L .52 .0004 L .54 .0004 L .56 .00041 L .58 .00041 L .6 .00041 L .62 .00042 L .64 .00042 L .66 .00043 L .68 .00043 L .7 .00043 L .72 .00044 L .74 .00044 L .76 .00045 L .78 .00045 L .8 .00046 L .82 .00046 L .84 .00047 L .86 .00047 L .88 .00048 L .9 .00048 L .92 .00049 L .94 .00049 L .96 .0005 L .98 .0005 L 1 .00051 L Mistroke Mfstroke 1 .00051 m 1 .00051 L s 0 1 .4 r .02 .00155 m .04 .00163 L .06 .00171 L .08 .0018 L .1 .0019 L .12 .002 L .14 .0021 L .16 .00221 L .18 .00233 L .2 .00245 L .22 .00258 L .24 .00272 L .26 .00286 L .28 .00301 L .3 .00317 L .32 .00334 L .34 .00351 L .36 .0037 L .38 .00389 L .4 .00409 L .42 .00431 L .44 .00454 L .46 .00478 L .48 .00503 L .5 .00529 L .52 .00557 L .54 .00586 L .56 .00617 L .58 .0065 L .6 .00684 L .62 .0072 L .64 .00758 L .66 .00798 L .68 .0084 L .7 .00884 L .72 .0093 L .74 .00979 L .76 .01031 L .78 .01085 L .8 .01142 L .82 .01202 L .84 .01266 L .86 .01332 L .88 .01402 L .9 .01476 L .92 .01554 L .94 .01636 L .96 .01722 L .98 .01812 L 1 .01908 L Mistroke Mfstroke 1 .01908 m 1 .01908 L s 0 1 1 r .02 .00309 m .04 .00343 L .06 .00382 L .08 .00424 L .1 .00471 L .12 .00523 L .14 .00581 L .16 .00646 L .18 .00718 L .2 .00798 L .22 .00886 L .24 .00985 L .26 .01094 L .28 .01216 L .3 .01351 L .32 .01501 L .34 .01668 L .36 .01853 L .38 .02059 L .4 .02288 L .42 .02542 L .44 .02824 L .46 .03138 L .48 .03487 L .5 .03874 L .52 .04304 L .54 .04783 L .56 .05314 L .58 .05905 L .6 .06561 L .62 .0729 L .64 .081 L .66 .09 L .68 .1 L .7 .11111 L .72 .12345 L .74 .13717 L .76 .15241 L .78 .16934 L .8 .18816 L .82 .20906 L .84 .23229 L .86 .2581 L .88 .28678 L .9 .31865 L .92 .35405 L .94 .39339 L .96 .4371 L .98 .48567 L 1 .53963 L Mistroke Mfstroke 1 .53963 m 1 .53963 L s 0 .4 1 r .02 .01545 m .04 .0309 L .06 .0618 L .08 .12361 L .1 .24721 L .12 .49443 L s .12 .49443 m .125 .61803 L s % End of Graphics MathPictureEnd \ \>"], "Graphics", ImageSize->{789, 487.438}, ImageMargins->{{44, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, ImageCache->GraphicsData["Bitmap", "\<\ CF5dJ6E]HGAYHf4PAg9QL6QYHgd0oooo2`00oooo0?ooom40oooo2000ofH70?ooo`008@3oool00`000000oooo 0?ooo`0A0?ooo`03001Vo`3oool0oooo0080oooo00<0oiT00?ooo`3oool0n@3oool;003oool0oooo e@3oool00240oooo00<000000?ooo`3oool04P3oool01000I_l0oooo0?ooo`3oV@3o0?ooo`P0oooo 2000oooo0?ooold0oooo000Q0?ooo`030000003oool0oooo01<0oooo0P00I_oo0?oooa40oooo1`00 oooo0?ooolH0oooo000Q0?ooo`030000003oool0oooo0180oooo00@0oiT00?ooo`3oool006Koo`3o oolG0?ooo`P00?ooo`3ooonn0?ooo`008@3oool00`000000oooo0?ooo`0A0?ooo`030?nI003oool0 oooo0080oooo00<006Ko0?ooo`3oool0o`3ooolL0?ooo`L00?ooo`3ooong0?ooo`008@3oool00`00 0000oooo0?ooo`0@0?ooo`030?nI003oool0oooo00@0oooo00<006Ko0?ooo`3oool0o`3ooolR0?oo o`P00?ooo`3ooon_0?ooo`008@3oool00`000000oooo0?ooo`0>0?ooo`80oiT0203oool2001Vool0 oooo:P3oool7003oool0ooooZ03oool00240oooo00<000000?ooo`3oool03@3oool00`3oV@00oooo 0?ooo`0:0?ooo`03001Vo`3oool0oooo0?l0oooo;P3oool8003oool0ooooX03oool00240oooo1000 000;0?ooo`030?nI003oool0oooo00`0oooo00<006Ko0?ooo`3oool0o`3ooole0?ooo`H00?ooo`3o oonJ0?ooo`008@3oool00`000000oooo0?ooo`0L0?ooo`03001Vo`3oool0oooo0?l0oooo>P3oool5 003oool0ooooU@3oool00240oooo00<000000?ooo`3oool0703oool00`00I_l0oooo0?ooo`3o0?oo ocl0oooo1@00oooo0?oooi00oooo000Q0?ooo`030000003oool0oooo01d0oooo00<006Ko0?ooo`3o ool0o`3ooom30?ooo`D00?ooo`3ooon;0?ooo`008@3oool00`000000oooo0?ooo`0N0?ooo`03001V o`3oool0oooo0?l0ooooA`3oool5003oool0ooooQP3oool00240oooo00<000000?ooo`3oool07P3o ool00`00I_l0oooo0?ooo`3o0?oood`0oooo1@00oooo0?oooh40oooo000Q0?ooo`030000003oool0 oooo01l0oooo00<006Ko0?ooo`3oool0o`3ooom@0?ooo`D00?ooo`3oooml0?ooo`008@3oool00`00 0000oooo0?ooo`0P0?ooo`03001Vo`3oool0oooo0?l0ooooE03oool5003oool0ooooM`3oool00240 oooo00<000000?ooo`3oool0803oool00`00I_l0oooo0?ooo`3o0?oooeT0oooo1@00oooo0?ooog80 oooo000Q0?ooo`030000003oool0oooo0240oooo00<006Ko0?ooo`3oool0o`3ooomM0?ooo`@00?oo o`3ooom^0?ooo`008@3oool00`000000oooo0?ooo`0R0?ooo`03001Vo`3oool0oooo0?l0ooooH03o ool4003oool0ooooJP3oool00240oooo00<000000?ooo`3oool08P3oool00`00I_l0oooo0?ooo`3o 0?ooof@0oooo1000oooo0?ooofH0oooo000Q0?ooo`@000008P3oool00`00I_l0oooo0?ooo`3o0?oo ofL0oooo1000oooo0?ooof80oooo000Q0?ooo`030000003oool0oooo02<0oooo00<006Ko0?ooo`3o ool0o`3ooom[0?ooo`<00?ooo`3ooomO0?ooo`008@3oool00`000000oooo0?ooo`0T0?ooo`03001V o`3oool0oooo0?l0ooooK@3oool4003oool0ooooF`3oool00240oooo00<000000?ooo`3oool09@3o ool00`00I_l0oooo0?ooo`3o0?ooog00oooo1000oooo0?oooeL0oooo000Q0?ooo`030000003oool0 oooo02D0oooo00<006Ko0?ooo`3oool0o`3ooomd0?ooo`@00?ooo`3ooomC0?ooo`008@3oool00`00 0000oooo0?ooo`0V0?ooo`03001Vo`3oool0oooo0?l0ooooM`3oool3003oool0ooooD03oool00240 oooo00<000000?ooo`3oool09`3oool00`00I_l0oooo0?ooo`3o0?ooogT0oooo1000oooo0?oood`0 oooo000Q0?ooo`030000003oool0oooo02L0oooo00<006Ko0?ooo`3oool0o`3ooomm0?ooo`@00?oo o`3ooom80?ooo`008@3oool00`000000oooo0?ooo`0X0?ooo`03001Vo`3oool0oooo0?l0ooooP03o ool4003oool0ooooA03oool00240oooo00<000000?ooo`3oool0:@3oool00`00I_l0oooo0?ooo`3o 0?oooh<0oooo0`00oooo0?oood40oooo000Q0?ooo`030000003oool0oooo02T0oooo00<006Ko0?oo o`3oool0o`3ooon60?ooo`<00?ooo`3oooln0?ooo`008@3oool4000002T0oooo00<006Ko0?ooo`3o ool0o`3ooon80?ooo`<00?ooo`3ooolk0?ooo`008@3oool00`000000oooo0?ooo`0Z0?ooo`03001V o`3oool0oooo0?l0ooooR`3oool3003oool0oooo>03oool00240oooo00<000000?ooo`3oool0:`3o ool00`00I_l0oooo0?ooo`3o0?ooohd0oooo0`00oooo0?ooocD0oooo000Q0?ooo`030000003oool0 oooo02/0oooo00<006Ko0?ooo`3oool0o`3ooon@0?ooo`<00?ooo`3ooolb0?ooo`008@3oool00`00 0000oooo0?ooo`0[0?ooo`03001Vo`3oool0oooo0?l0ooooT`3oool3003oool0oooo;`3oool00240 oooo00<000000?ooo`3oool0;03oool00`00I_l0oooo0?ooo`3o0?oooiD0oooo0`00oooo0?ooob`0 oooo000Q0?ooo`030000003oool0oooo02`0oooo00<006Ko0?ooo`3oool0o`3ooonH0?ooo`<00?oo o`3ooolY0?ooo`008@3oool00`000000oooo0?ooo`0/0?ooo`03001Vo`3oool0oooo0?l0ooooV`3o ool3003oool0oooo9P3oool00240oooo00<000000?ooo`3oool0;@3oool00`00I_l0oooo0?ooo`3o 0?oooid0oooo0`00oooo0?ooob<0oooo000Q0?ooo`030000003oool0oooo02d0oooo00<006Ko0?oo o`3oool0o`3ooonP0?ooo`800?ooo`3ooolQ0?ooo`001P3oool02P3o_g@00000000000000000001d 0;ooo`3oool0oono07@00000B9`30?ooo`040=nLB0000000000004RLg`X0oooo00<000000?ooo`3o ool0;@3oool00`00I_l0oooo0?ooo`3o0?oooj80oooo0P00oooo0?oooal0oooo00070?ooo`0309a8 000007@0_ooo00P0oooo00H0omnL04Q8W03oool0oooo09a8B02Lgol90?ooo`030000003oool0oooo 02h0oooo00<006Ko0?ooo`3oool0o`3ooonS0?ooo`800?ooo`3ooolM0?ooo`00203oool00`3o_g@0 000007Boo`0;0?ooo`030;mdB02Lgol0oooo00P0oooo1P00000[0?ooo`03001Vo`3oool0oooo0?l0 ooooY@3oool2003oool0oooo6`3oool000T0oooo00<0oono0;noo`3oool01`3oool0102oM0000000 00000000M;l:0?ooo`030000003oool0oooo02h0oooo00<006Ko0?ooo`3oool0o`3ooonW0?ooo`80 0?ooo`3ooolI0?ooo`001P3oool01P3ogi`0B4RL0?ooo`3ookl0M01d0;ooo`L0oooo00<0_gA809cO o`3oool02`3oool00`000000oooo0?ooo`0_0?ooo`03001Vo`3oool0oooo0?l0ooooZ03oool2003o ool0oooo5`3oool000L0oooo00@0gia8000000000000B9cO203oool0102oM000000000000000M;l: 0?ooo`030000003oool0oooo02l0oooo00<006Ko0?ooo`3oool0o`3ooonZ0?ooo`<00?ooo`3ooolD 0?ooo`008@3oool00`000000oooo0?ooo`0_0?ooo`03001Vo`3oool0oooo0?l0oooo[@3oool2003o ool0oooo4P3oool00240oooo00<000000?ooo`3oool0<03oool00`00I_l0oooo0?ooo`3o0?ooojh0 oooo0`00oooo0?ooo`l0oooo000Q0?ooo`030000003oool0oooo0300oooo00<006Ko0?ooo`3oool0 o`3ooona0?ooo`800?ooo`3oool=0?ooo`008@3oool00`000000oooo0?ooo`0`0?ooo`03001Vo`3o ool0oooo0?l0oooo/`3oool3003oool0oooo2P3oool00240oooo00<000000?ooo`3oool0<@3oool0 0`00I_l0oooo0?ooo`3o0?oookD0oooo0P00oooo0?ooo`P0oooo000Q0?ooo`030000003oool0oooo 0340oooo00<006Ko0?ooo`3oool0o`3ooong0?ooo`800?ooo`3oool60?ooo`008@3oool00`000000 oooo0?ooo`0a0?ooo`03001Vo`3oool0oooo0?l0oooo^@3oool2003oool0oooo103oool00240oooo 1000000`0?ooo`03001Vo`3oool0oooo0?l0oooo^`3oool2003oool0oooo0P3oool00240oooo00<0 00000?ooo`3oool0 0?ooo`800?oojP3oool00240oooo00<000000?ooo`3oool0=P3oool00`00I_l0oooo0?ooo`3o0?oo oll0oooo0P00oooX0?ooo`008@3oool00`000000oooo0?ooo`0f0?ooo`03001Vo`3oool0oooo0?l0 ooood@3oool00`00ool0oooo0?ooo`3U0?ooo`008@3oool00`000000oooo0?ooo`0f0?ooo`03001V o`3oool0oooo0?l0oooodP3oool2003oonD0oooo000Q0?ooo`030000003oool0oooo03L0oooo00<0 06Ko0?ooo`3oool0o`3ooooC0?ooo`800?ooh`3oool00240oooo00<000000?ooo`3oool0=`3oool0 0`00I_l0oooo0?ooo`3o0?ooomD0oooo00<00?oo0?ooo`3oool0h03oool00240oooo00<000000?oo o`3oool0=`3oool00`00I_l0oooo0?ooo`3o0?ooomH0oooo0P00oooP0?ooo`008@3oool00`000000 oooo0?ooo`0h0?ooo`03001Vo`3oool0oooo0?l0ooooe`3oool2003oomh0oooo000Q0?ooo`030000 003oool0oooo03P0oooo00<006Ko0?ooo`3oool0o`3ooooI0?ooo`03003oo`3oool0oooo0=/0oooo 000Q0?ooo`030000003oool0oooo03P0oooo00<006Ko0?ooo`3oool0o`3ooooJ0?ooo`800?oof`3o ool00240oooo00<000000?ooo`3oool0>@3oool00`00I_l0oooo0?ooo`3o0?ooom/0oooo0P00oooI 0?ooo`008@3oool4000003P0oooo00<006Ko0?ooo`3oool0o`3ooooM0?ooo`03003oo`3oool0oooo 0=H0oooo000Q0?ooo`030000003oool0oooo03T0oooo00<006Ko0?ooo`3oool0o`3ooooN0?ooo`80 0?ooeP3oool00240oooo00<000000?ooo`3oool0>@3oool00`00I_l0oooo0?ooo`3o0?ooon00oooo 00<00?oo0?ooo`3oool0d`3oool00240oooo00<000000?ooo`3oool0>@3oool00`00I_l0oooo0?oo o`3o0?ooon40oooo00<00?oo0?ooo`3oool0dP3oool00240oooo00<000000?ooo`3oool0>P3oool0 0`00I_l0oooo0?ooo`3o0?ooon40oooo0P00oooB0?ooo`008@3oool00`000000oooo0?ooo`0j0?oo o`03001Vo`3oool0oooo0?l0ooooh`3oool00`00ool0oooo0?ooo`3?0?ooo`008@3oool00`000000 oooo0?ooo`0j0?ooo`03001Vo`3oool0oooo0?l0ooooi03oool00`00ool0oooo0?ooo`3>0?ooo`00 8@3oool00`000000oooo0?ooo`0j0?ooo`03001Vo`3oool0oooo0?l0ooooi@3oool2003oolh0oooo 000Q0?ooo`030000003oool0oooo03X0oooo00<006Ko0?ooo`3oool0o`3ooooW0?ooo`03003oo`3o ool0oooo0`3oool00`00I_l0 oooo0?ooo`3o0?ooonX0oooo00<00?oo0?ooo`3oool0a`3oool00240oooo1000000j0?ooo`03001V o`3oool0oooo0?l0ooooj`3oool2003oolL0oooo000Q0?ooo`030000003oool0oooo03/0oooo00<0 06Ko0?ooo`3oool0o`3oooo]0?ooo`03003oo`3oool0oooo0<@0oooo000Q0?ooo`030000003oool0 oooo03/0oooo00<006Ko0?ooo`3oool0o`3oooo^0?ooo`03003oo`3oool0oooo0<<0oooo000Q0?oo o`030000003oool0oooo03/0oooo00<006Ko0?ooo`3oool0o`3oooo_0?ooo`800?oo``3oool00240 oooo00<000000?ooo`3oool0?03oool00`00I_l0oooo0?ooo`3o0?oooo00oooo00<00?oo0?ooo`3o ool0`03oool00240oooo00<000000?ooo`3oool0?03oool00`00I_l0oooo0?ooo`3o0?oooo40oooo 00<00?oo0?ooo`3oool0_`3oool00240oooo00<000000?ooo`3oool0?03oool00`00I_l0oooo0?oo o`3o0?oooo80oooo0P00oono0?ooo`008@3oool00`000000oooo0?ooo`0l0?ooo`03001Vo`3oool0 oooo0?l0oooom03oool00`00ool0oooo0?ooo`2l0?ooo`008@3oool00`000000oooo0?ooo`0l0?oo o`03001Vo`3oool0oooo0?l0oooom@3oool00`00ool0oooo0?ooo`2k0?ooo`008@3oool00`000000 oooo0?ooo`0l0?ooo`03001Vo`3oool0oooo0?l0oooomP3oool2003ook/0oooo000C0?ooo`040=nL B0000000000004RLg`X0oooo00<000000?ooo`3oool0?@3oool00`00I_l0oooo0?ooo`3o0?ooooL0 oooo00<00?oo0?ooo`3oool0^03oool00180oooo00H0omnL04Q8W03oool0oooo09a8B02Lgol90?oo o`030000003oool0oooo03d0oooo00<006Ko0?ooo`3oool0o`3ooooh0?ooo`03003oo`3oool0oooo 0;L0oooo000F0?ooo`030;mdB02Lgol0oooo00P0oooo1P00000j0?ooo`03001Vo`3oool0oooo0?l0 oooon@3oool00`00ool0oooo0?ooo`2f0?ooo`004`3oool0102oM000000000000000M;l:0?ooo`03 0000003oool0oooo03d0oooo00<006Ko0?ooo`3oool0o`3ooooj0?ooo`800?oo]P3oool001<0oooo 00<0_gA809cOo`3oool02`3oool00`000000oooo0?ooo`0m0?ooo`03001Vo`3oool0oooo0?l0oooo o03oool00`00ool0oooo0?ooo`2c0?ooo`004`3oool0102oM000000000000000M;l:0?ooo`030000 003oool0oooo03d0oooo00<006Ko0?ooo`3oool0o`3oooom0?ooo`03003oo`3oool0oooo0;80oooo 000Q0?ooo`030000003oool0oooo03h0oooo00<006Ko0?ooo`3oool0o`3oooom0?ooo`03003oo`3o ool0oooo0;40oooo000Q0?ooo`030000003oool0oooo03h0oooo00<006Ko0?ooo`3oool0o`3oooon 0?ooo`03003oo`3oool0oooo0;00oooo000Q0?ooo`030000003oool0oooo03h0oooo00<006Ko0?oo o`3oool0o`3ooooo0?ooo`03003oo`3oool0oooo0:l0oooo000Q0?ooo`030000003oool0oooo03h0 oooo00<006Ko0?ooo`3oool0o`3ooooo0?ooo`40oooo00<00?oo0?ooo`3oool0[P3oool00240oooo 00<000000?ooo`3oool0?P3oool00`00I_l0oooo0?ooo`3o0?ooool0oooo0P3oool2003oojh0oooo 000Q0?ooo`030000003oool0oooo03h0oooo00<006Ko0?ooo`3oool0o`3ooooo0?ooo`@0oooo00<0 0?oo0?ooo`3oool0Z`3oool00240oooo00<000000?ooo`3oool0?P3oool00`00I_l0oooo0?ooo`3o 0?ooool0oooo1@3oool00`00ool0oooo0?ooo`2Z0?ooo`008@3oool4000003h0oooo00<006Ko0?oo o`3oool0o`3ooooo0?ooo`D0oooo00<00?oo0?ooo`3oool0Z@3oool00240oooo00<000000?ooo`3o ool0?`3oool00`00I_l0oooo0?ooo`3o0?ooool0oooo1P3oool00`00ool0oooo0?ooo`2X0?ooo`00 8@3oool00`000000oooo0?ooo`0o0?ooo`03001Vo`3oool0oooo0?l0ooooo`3oool70?ooo`03003o o`3oool0oooo0:L0oooo000Q0?ooo`030000003oool0oooo03l0oooo00<006Ko0?ooo`3oool0o`3o oooo0?ooo`P0oooo00<00?oo0?ooo`3oool0YP3oool00240oooo00<000000?ooo`3oool0?`3oool0 0`00I_l0oooo0?ooo`3o0?ooool0oooo2@3oool00`00ool0oooo0?ooo`2U0?ooo`008@3oool00`00 0000oooo0?ooo`0o0?ooo`03001Vo`3oool0oooo0?l0ooooo`3oool:0?ooo`03003oo`3oool0oooo 0:@0oooo000Q0?ooo`030000003oool0oooo0400oooo00<006Ko0?ooo`3oool0o`3ooooo0?ooo`X0 oooo00<00?oo0?ooo`3oool0X`3oool00240oooo00<000000?ooo`3oool0@03oool00`00I_l0oooo 0?ooo`3o0?ooool0oooo2`3oool2003ooj<0oooo000Q0?ooo`030000003oool0oooo0400oooo00<0 06Ko0?ooo`3oool0o`3ooooo0?ooo`d0oooo00<00?oo0?ooo`3oool0X03oool00240oooo00<00000 0?ooo`3oool0@03oool00`00I_l0oooo0?ooo`3o0?ooool0oooo3P3oool00`00ool0oooo0?ooo`2O 0?ooo`008@3oool00`000000oooo0?ooo`100?ooo`03001Vo`3oool0oooo0?l0ooooo`3oool?0?oo o`03003oo`3oool0oooo09h0oooo000Q0?ooo`030000003oool0oooo0400oooo00<006Ko0?ooo`3o ool0o`3ooooo0?oooa00oooo00<00?oo0?ooo`3oool0W@3oool00240oooo100000100?ooo`03001V o`3oool0oooo0?l0ooooo`3oool@0?ooo`03003oo`3oool0oooo09`0oooo000Q0?ooo`030000003o ool0oooo0440oooo00<006Ko0?ooo`3oool0o`3ooooo0?oooa40oooo00<00?oo0?ooo`3oool0V`3o ool00240oooo00<000000?ooo`3oool0@@3oool00`00I_l0oooo0?ooo`3o0?ooool0oooo4P3oool0 0`00ool0oooo0?ooo`2J0?ooo`008@3oool00`000000oooo0?ooo`110?ooo`03001Vo`3oool0oooo 0?l0ooooo`3ooolC0?ooo`03003oo`3oool0oooo09T0oooo000Q0?ooo`030000003oool0oooo0440 oooo00<006Ko0?ooo`3oool0o`3ooooo0?oooa@0oooo00<00?oo0?ooo`3oool0V03oool00240oooo 00<000000?ooo`3oool0@@3oool00`00I_l0oooo0?ooo`3o0?ooool0oooo5@3oool00`00ool0oooo 0?ooo`2G0?ooo`008@3oool00`000000oooo0?ooo`120?ooo`03001Vo`3oool0oooo0?l0ooooo`3o oolE0?ooo`03003oo`3oool0oooo09H0oooo000Q0?ooo`030000003oool0oooo0480oooo00<006Ko 0?ooo`3oool0o`3ooooo0?oooaH0oooo00<00?oo0?ooo`3oool0U@3oool00240oooo00<000000?oo o`3oool0@P3oool00`00I_l0oooo0?ooo`3o0?ooool0oooo5`3oool00`00ool0oooo0?ooo`2D0?oo o`008@3oool00`000000oooo0?ooo`120?ooo`03001Vo`3oool0oooo0?l0ooooo`3ooolH0?ooo`03 003oo`3oool0oooo09<0oooo000Q0?ooo`030000003oool0oooo0480oooo00<006Ko0?ooo`3oool0 o`3ooooo0?oooaT0oooo00<00?oo0?ooo`3oool0TP3oool00240oooo100000110?ooo`03001Vo`3o ool0oooo0?l0ooooo`3ooolJ0?ooo`03003oo`3oool0oooo0940oooo000Q0?ooo`030000003oool0 oooo04<0oooo00<006Ko0?ooo`3oool0o`3ooooo0?oooaX0oooo00<00?oo0?ooo`3oool0T03oool0 0240oooo00<000000?ooo`3oool0@`3oool00`00I_l0oooo0?ooo`3o0?ooool0oooo6`3oool00`00 ool0oooo0?ooo`2?0?ooo`008@3oool00`000000oooo0?ooo`130?ooo`03001Vo`3oool0oooo0?l0 ooooo`3ooolL0?ooo`03003oo`3oool0oooo08h0oooo000Q0?ooo`030000003oool0oooo04<0oooo 00<006Ko0?ooo`3oool0o`3ooooo0?oooad0oooo00<00?oo0?ooo`3oool0S@3oool00240oooo00<0 00000?ooo`3oool0@`3oool00`00I_l0oooo0?ooo`3o0?ooool0oooo7P3oool00`00ool0oooo0?oo o`2<0?ooo`008@3oool00`000000oooo0?ooo`130?ooo`03001Vo`3oool0oooo0?l0ooooo`3ooolO 0?ooo`03003oo`3oool0oooo08/0oooo000Q0?ooo`030000003oool0oooo04<0oooo00<006Ko0?oo o`3oool0o`3ooooo0?ooob00oooo00<00?oo0?ooo`3oool0RP3oool00240oooo00<000000?ooo`3o ool0A03oool00`00I_l0oooo0?ooo`3o0?ooool0oooo803oool00`00ool0oooo0?ooo`290?ooo`00 8@3oool00`000000oooo0?ooo`140?ooo`03001Vo`3oool0oooo0?l0ooooo`3ooolP0?ooo`03003o o`3oool0oooo08T0oooo000Q0?ooo`030000003oool0oooo04@0oooo00<006Ko0?ooo`3oool0o`3o oooo0?ooob40oooo00<00?oo0?ooo`3oool0R03oool00240oooo00<000000?ooo`3oool0A03oool0 0`00I_l0oooo0?ooo`3o0?ooool0oooo8P3oool00`00ool0oooo0?ooo`270?ooo`008@3oool40000 04<0oooo00<006Ko0?ooo`3oool0o`3ooooo0?ooob<0oooo00<00?oo0?ooo`3oool0QP3oool00240 oooo00<000000?ooo`3oool0A03oool00`00I_l0oooo0?ooo`3o0?ooool0oooo903oool00`00ool0 oooo0?ooo`250?ooo`008@3oool00`000000oooo0?ooo`150?ooo`03001Vo`3oool0oooo0?l0oooo o`3ooolT0?ooo`03003oo`3oool0oooo08@0oooo000Q0?ooo`030000003oool0oooo04D0oooo00<0 06Ko0?ooo`3oool0o`3ooooo0?ooob@0oooo00<00?oo0?ooo`3oool0Q03oool00240oooo00<00000 0?ooo`3oool0A@3oool00`00I_l0oooo0?ooo`3o0?ooool0oooo9@3oool00`00ool0oooo0?ooo`23 0?ooo`008@3oool00`000000oooo0?ooo`150?ooo`03001Vo`3oool0oooo0?l0ooooo`3ooolV0?oo o`03003oo`3oool0oooo0880oooo000Q0?ooo`030000003oool0oooo04D0oooo00<006Ko0?ooo`3o ool0o`3ooooo0?ooobL0oooo00<00?oo0?ooo`3oool0P@3oool00240oooo00<000000?ooo`3oool0 A@3oool00`00I_l0oooo0?ooo`3o0?ooool0oooo:03oool00`00ool0oooo0?ooo`200?ooo`008@3o ool00`000000oooo0?ooo`160?ooo`03001Vo`3oool0oooo0?l0ooooo`3ooolX0?ooo`03003oo`3o ool0oooo07l0oooo00080?ooo`030=nLB01d_ol0oooo0080oooo00<0oono07@00000B9`00`3oool0 103OW4P0000000000018W=l:0?ooo`030000003oool0oooo04H0oooo00<006Ko0?ooo`3oool0o`3o oooo0?ooobP0oooo00<00?oo0?ooo`3oool0O`3oool000P0oooo00<0oono07Ad_`3oool01`3oool0 1P3ogi`0B4RL0?ooo`3oool0W4Q809cOo`T0oooo00<000000?ooo`3oool0AP3oool00`00I_l0oooo 0?ooo`3o0?ooool0oooo:@3oool00`00ool0oooo0?ooo`1n0?ooo`002@3oool00`2oM7@0_ooo0?oo o`0:0?ooo`030;mdB02Lgol0oooo00P0oooo1P0000130?ooo`03001Vo`3oool0oooo0?l0ooooo`3o oolZ0?ooo`03003oo`3oool0oooo07d0oooo00090?ooo`030?noM018W=l0oooo00L0oooo00@0_g@0 00000000000007Bo2P3oool00`000000oooo0?ooo`160?ooo`03001Vo`3oool0oooo0?l0ooooo`3o ool[0?ooo`03003oo`3oool0oooo07`0oooo00060?ooo`050?oOW018M;l0oooo0?oo_`1dB9`0203o ool00`2oM4P0W=oo0?ooo`0;0?ooo`030000003oool0oooo04H0oooo00<006Ko0?ooo`3oool0o`3o oooo0?ooob`0oooo00<00?oo0?ooo`3oool0N`3oool000H0oooo00H0omnL04P00000000000000000 M02oool70?ooo`040;md000000000000001d_`X0oooo00<000000?ooo`3oool0A`3oool00`00I_l0 oooo0?ooo`3o0?ooool0oooo;03oool00`00ool0oooo0?ooo`1j0?ooo`008@3oool00`000000oooo 0?ooo`170?ooo`03001Vo`3oool0oooo0?l0ooooo`3oool/0?ooo`03003oo`3oool0oooo07X0oooo 000Q0?ooo`030000003oool0oooo04L0oooo00<006Ko0?ooo`3oool0o`3ooooo0?ooobd0oooo00<0 0?oo0?ooo`3oool0N@3oool00240oooo00<000000?ooo`3oool0A`3oool00`00I_l0oooo0?ooo`3o 0?ooool0oooo;P3oool00`00ool0oooo0?ooo`1h0?ooo`008@3oool00`000000oooo0?ooo`170?oo o`03001Vo`3oool0oooo0?l0ooooo`3oool_0?ooo`03003oo`3oool0oooo07L0oooo000Q0?ooo`03 0000003oool0oooo04L0oooo00<006Ko0?ooo`3oool0o`3ooooo0?oooc00oooo00<00?oo0?ooo`3o ool0MP3oool00240oooo00<000000?ooo`3oool0B03oool00`00I_l0oooo0?ooo`3o0?ooool0oooo ;`3oool00`00ool0oooo0?ooo`1f0?ooo`008@3oool00`000000oooo0?ooo`180?ooo`03001Vo`3o ool0oooo0?l0ooooo`3oool`0?ooo`03003oo`3oool0oooo07D0oooo000Q0?ooo`030000003oool0 oooo04P0oooo00<006Ko0?ooo`3oool0o`3ooooo0?oooc40oooo00<00?oo0?ooo`3oool0M03oool0 0240oooo100000170?ooo`03001Vo`3oool0oooo0?l0ooooo`3ooolb0?ooo`03003oo`3oool0oooo 07<0oooo000Q0?ooo`030000003oool0oooo04P0oooo00<006Ko0?ooo`3oool0o`3ooooo0?oooc80 oooo00<00?oo0?ooo`3oool0L`3oool00240oooo00<000000?ooo`3oool0B03oool00`00I_l0oooo 0?ooo`3o0?ooool0oooo<`3oool00`00ool0oooo0?ooo`1b0?ooo`008@3oool00`000000oooo0?oo o`180?ooo`03001Vo`3oool0oooo0?l0ooooo`3ooold0?ooo`03003oo`3oool0oooo0740oooo000Q 0?ooo`030000003oool0oooo04P0oooo00<006Ko0?ooo`3oool0o`3ooooo0?ooocD0oooo00<00?oo 0?ooo`3oool0L03oool00240oooo00<000000?ooo`3oool0B03oool00`00I_l0oooo0?ooo`3o0?oo ool0oooo=P3oool00`00ool0oooo0?ooo`1_0?ooo`008@3oool00`000000oooo0?ooo`180?ooo`03 001Vo`3oool0oooo0?l0ooooo`3ooolf0?ooo`03003oo`3oool0oooo06l0oooo000Q0?ooo`030000 003oool0oooo04T0oooo00<006Ko0?ooo`3oool0o`3ooooo0?ooocH0oooo00<00?oo0?ooo`3oool0 KP3oool00240oooo00<000000?ooo`3oool0B@3oool00`00I_l0oooo0?ooo`3o0?ooool0oooo=`3o ool00`00ool0oooo0?ooo`1]0?ooo`008@3oool00`000000oooo0?ooo`190?ooo`03001Vo`3oool0 oooo0?l0ooooo`3ooolh0?ooo`03003oo`3oool0oooo06`0oooo000Q0?ooo`030000003oool0oooo 04T0oooo00<006Ko0?ooo`3oool0o`3ooooo0?ooocP0oooo00<00?oo0?ooo`3oool0K03oool00240 oooo00<000000?ooo`3oool0B@3oool00`00I_l0oooo0?ooo`3o0?ooool0oooo>@3oool00`00ool0 oooo0?ooo`1[0?ooo`008@3oool4000004P0oooo00<006Ko0?ooo`3oool0o`3ooooo0?ooocX0oooo 00<00?oo0?ooo`3oool0JP3oool00240oooo00<000000?ooo`3oool0B@3oool00`00I_l0oooo0?oo o`3o0?ooool0oooo>P3oool00`00ool0oooo0?ooo`1Z0?ooo`008@3oool00`000000oooo0?ooo`19 0?ooo`03001Vo`3oool0oooo0?l0ooooo`3ooolk0?ooo`03003oo`3oool0oooo06T0oooo000Q0?oo o`030000003oool0oooo04T0oooo00<006Ko0?ooo`3oool0o`3ooooo0?oooc`0oooo00<00?oo0?oo o`3oool0J03oool00240oooo00<000000?ooo`3oool0B@3oool00`00I_l0oooo0?ooo`3o0?ooool0 oooo?03oool00`00ool0oooo0?ooo`1X0?ooo`008@3oool00`000000oooo0?ooo`190?ooo`03001V o`3oool0oooo0?l0ooooo`3ooolm0?ooo`03003oo`3oool0oooo06L0oooo000Q0?ooo`030000003o ool0oooo04T0oooo00<006Ko0?ooo`3oool0o`3ooooo0?oooch0oooo00<00?oo0?ooo`3oool0IP3o ool00240oooo00<000000?ooo`3oool0BP3oool00`00I_l0oooo0?ooo`3o0?ooool0oooo?@3oool0 0`00ool0oooo0?ooo`1V0?ooo`008@3oool00`000000oooo0?ooo`1:0?ooo`03001Vo`3oool0oooo 0?l0ooooo`3oooln0?ooo`03003oo`3oool0oooo06D0oooo000Q0?ooo`030000003oool0oooo04X0 oooo00<006Ko0?ooo`3oool0o`3ooooo0?ooocl0oooo00<00?oo0?ooo`3oool0I03oool00240oooo 00<000000?ooo`3oool0BP3oool00`00I_l0oooo0?ooo`3o0?ooool0oooo@03oool00`00ool0oooo 0?ooo`1S0?ooo`008@3oool4000004T0oooo00<006Ko0?ooo`3oool0o`3ooooo0?oood00oooo00<0 0?oo0?ooo`3oool0H`3oool00240oooo00<000000?ooo`3oool0BP3oool00`00I_l0oooo0?ooo`3o 0?ooool0oooo@@3oool00`00ool0oooo0?ooo`1R0?ooo`008@3oool00`000000oooo0?ooo`1:0?oo o`03001Vo`3oool0oooo0?l0ooooo`3ooom20?ooo`03003oo`3oool0oooo0640oooo000Q0?ooo`03 0000003oool0oooo04X0oooo00<006Ko0?ooo`3oool0o`3ooooo0?oood80oooo00<00?oo0?ooo`3o ool0H@3oool00240oooo00<000000?ooo`3oool0BP3oool00`00I_l0oooo0?ooo`3o0?ooool0oooo @`3oool00`00ool0oooo0?ooo`1P0?ooo`008@3oool00`000000oooo0?ooo`1:0?ooo`03001Vo`3o ool0oooo0?l0ooooo`3ooom40?ooo`03003oo`3oool0oooo05l0oooo000Q0?ooo`030000003oool0 oooo04X0oooo00<006Ko0?ooo`3oool0o`3ooooo0?oood@0oooo00<00?oo0?ooo`3oool0G`3oool0 0240oooo00<000000?ooo`3oool0BP3oool00`00I_l0oooo0?ooo`3o0?ooool0ooooA@3oool00`00 ool0oooo0?ooo`1N0?ooo`008@3oool00`000000oooo0?ooo`1;0?ooo`03001Vo`3oool0oooo0?l0 ooooo`3ooom50?ooo`03003oo`3oool0oooo05d0oooo000Q0?ooo`030000003oool0oooo04/0oooo 00<006Ko0?ooo`3oool0o`3ooooo0?ooodD0oooo00<00?oo0?ooo`3oool0G@3oool00240oooo00<0 00000?ooo`3oool0B`3oool00`00I_l0oooo0?ooo`3o0?ooool0ooooAP3oool00`00ool0oooo0?oo o`1L0?ooo`008@3oool00`000000oooo0?ooo`1;0?ooo`03001Vo`3oool0oooo0?l0ooooo`3ooom7 0?ooo`03003oo`3oool0oooo05/0oooo000Q0?ooo`@00000BP3oool00`00I_l0oooo0?ooo`3o0?oo ool0ooooA`3oool00`00ool0oooo0?ooo`1K0?ooo`008@3oool00`000000oooo0?ooo`1;0?ooo`03 001Vo`3oool0oooo0?l0ooooo`3ooom80?ooo`03003oo`3oool0oooo05X0oooo000Q0?ooo`030000 003oool0oooo04/0oooo00<006Ko0?ooo`3oool0o`3ooooo0?ooodT0oooo00<00?oo0?ooo`3oool0 F@3oool00240oooo00<000000?ooo`3oool0B`3oool00`00I_l0oooo0?ooo`3o0?ooool0ooooB@3o ool00`00ool0oooo0?ooo`1I0?ooo`008@3oool00`000000oooo0?ooo`1;0?ooo`03001Vo`3oool0 oooo0?l0ooooo`3ooom:0?ooo`03003oo`3oool0oooo05P0oooo000Q0?ooo`030000003oool0oooo 04/0oooo00<006Ko0?ooo`3oool0o`3ooooo0?oood/0oooo00<00?oo0?ooo`3oool0E`3oool00240 oooo00<000000?ooo`3oool0B`3oool00`00I_l0oooo0?ooo`3o0?ooool0ooooB`3oool00`00ool0 oooo0?ooo`1G0?ooo`008@3oool00`000000oooo0?ooo`1;0?ooo`03001Vo`3oool0oooo0?l0oooo o`3ooom<0?ooo`03003oo`3oool0oooo05H0oooo000Q0?ooo`030000003oool0oooo04/0oooo00<0 06Ko0?ooo`3oool0o`3ooooo0?oood`0oooo00<00?oo0?ooo`3oool0EP3oool000`0oooo00P0oono 07@00000000000000000B02Lgol0oooo0=nLB080000000<0B9cO0?ooo`3oool0203oool00`000000 oooo0?ooo`1<0?ooo`03001Vo`3oool0oooo0?l0ooooo`3ooom<0?ooo`03003oo`3oool0oooo05D0 oooo000>0?ooo`030?noM018W=l0oooo0080oooo00D0W7BL0?ooo`3oool0W4Qd0;ooo`090?ooo`03 0000003oool0oooo04`0oooo00<006Ko0?ooo`3oool0o`3ooooo0?ooodd0oooo00<00?oo0?ooo`3o ool0E03oool000h0oooo00H0okmd04RLg`3oool0oooo0?oo_`1dB9`20?ooo`030;mdB02Lgol0oooo 00P0oooo1P0000190?ooo`03001Vo`3oool0oooo0?l0ooooo`3ooom=0?ooo`03003oo`3oool0oooo 05@0oooo000>0?ooo`060?noM018W=l0oooo0?ooo`3ookl0M4RL0P3oool00`2oM4P0W=oo0?ooo`08 0?ooo`030000003oool0oooo04`0oooo00<006Ko0?ooo`3oool0o`3ooooo0?ooodh0oooo00<00?oo 0?ooo`3oool0D`3oool000d0oooo00<0W4Qd0;noM018W=l00`3oool01@2LB4P0W=oo0?oo_`1d07@0 _ooo00T0oooo00<000000?ooo`3oool0C03oool00`00I_l0oooo0?ooo`3o0?ooool0ooooC`3oool0 0`00ool0oooo0?ooo`1B0?ooo`003@3oool00`3o_g@0000004RLg`030?ooo`040?oOW01800000000 07Boo`X0oooo00<000000?ooo`3oool0C03oool00`00I_l0oooo0?ooo`3o0?ooool0ooooC`3oool0 0`00ool0oooo0?ooo`1B0?ooo`008@3oool00`000000oooo0?ooo`1<0?ooo`03001Vo`3oool0oooo 0?l0ooooo`3ooom@0?ooo`03003oo`3oool0oooo0540oooo000Q0?ooo`030000003oool0oooo04`0 oooo00<006Ko0?ooo`3oool0o`3ooooo0?oooe40oooo00<00?oo0?ooo`3oool0D03oool00240oooo 00<000000?ooo`3oool0C03oool00`00I_l0oooo0?ooo`3o0?ooool0ooooD@3oool00`00ool0oooo 0?ooo`1@0?ooo`008@3oool00`000000oooo0?ooo`1<0?ooo`03001Vo`3oool0oooo0?l0ooooo`3o oomB0?ooo`03003oo`3oool0oooo04l0oooo000Q0?ooo`030000003oool0oooo04`0oooo00<006Ko 0?ooo`3oool0o`3ooooo0?oooe<0oooo00<00?oo0?ooo`3oool0CP3oool00240oooo00<000000?oo o`3oool0C03oool00`00I_l0oooo0?ooo`3o0?ooool0ooooD`3oool00`00ool0oooo0?ooo`1>0?oo o`008@3oool00`000000oooo0?ooo`1=0?ooo`03001Vo`3oool0oooo0?l0ooooo`3ooomC0?ooo`03 003oo`3oool0oooo04d0oooo000Q0?ooo`030000003oool0oooo04d0oooo00<006Ko0?ooo`3oool0 o`3ooooo0?oooe<0oooo00<00?oo0?ooo`3oool0C@3oool00240oooo1000001<0?ooo`03001Vo`3o ool0oooo0?l0ooooo`3ooomD0?ooo`03003oo`3oool0oooo04`0oooo000Q0?ooo`030000003oool0 oooo04d0oooo00<006Ko0?ooo`3oool0o`3ooooo0?oooe@0oooo00<00?oo0?ooo`3oool0C03oool0 0240oooo00<000000?ooo`3oool0C@3oool00`00I_l0oooo0?ooo`3o0?ooool0ooooE@3oool00`00 ool0oooo0?ooo`1;0?ooo`008@3oool00`000000oooo0?ooo`1=0?ooo`03001Vo`3oool0oooo0?l0 ooooo`3ooomE0?ooo`03003oo`3oool0oooo04/0oooo000Q0?ooo`030000003oool0oooo04d0oooo 00<006Ko0?ooo`3oool0o`3ooooo0?oooeH0oooo00<00?oo0?ooo`3oool0BP3oool00240oooo00<0 00000?ooo`3oool0C@3oool00`00I_l0oooo0?ooo`3o0?ooool0ooooE`3oool00`00ool0oooo0?oo o`190?ooo`008@3oool00`000000oooo0?ooo`1=0?ooo`03001Vo`3oool0oooo0?l0ooooo`3ooomG 0?ooo`03003oo`3oool0oooo04T0oooo000Q0?ooo`030000003oool0oooo04d0oooo00<006Ko0?oo o`3oool0o`3ooooo0?oooeP0oooo00<00?oo0?ooo`3oool0B03oool00240oooo00<000000?ooo`3o ool0C@3oool00`00I_l0oooo0?ooo`3o0?ooool0ooooF03oool00`00ool0oooo0?ooo`180?ooo`00 8@3oool00`000000oooo0?ooo`1=0?ooo`03001Vo`3oool0oooo0?l0ooooo`3ooomI0?ooo`03003o o`3oool0oooo04L0oooo000Q0?ooo`030000003oool0oooo04h0oooo00<006Ko0?ooo`3oool0o`3o oooo0?oooeP0oooo00<00?oo0?ooo`3oool0A`3oool00240oooo1000001=0?ooo`03001Vo`3oool0 oooo0?l0ooooo`3ooomI0?ooo`03003oo`3oool0oooo04H0oooo000Q0?ooo`030000003oool0oooo 04h0oooo00<006Ko0?ooo`3oool0o`3ooooo0?oooeT0oooo00<00?oo0?ooo`3oool0AP3oool00240 oooo00<000000?ooo`3oool0CP3oool00`00I_l0oooo0?ooo`3o0?ooool0ooooFP3oool00`00ool0 oooo0?ooo`150?ooo`008@3oool00`000000oooo0?ooo`1>0?ooo`03001Vo`3oool0oooo0?l0oooo o`3ooomK0?ooo`03003oo`3oool0oooo04@0oooo000Q0?ooo`030000003oool0oooo04h0oooo00<0 06Ko0?ooo`3oool0o`3ooooo0?oooe/0oooo00<00?oo0?ooo`3oool0A03oool00240oooo00<00000 0?ooo`3oool0CP3oool00`00I_l0oooo0?ooo`3o0?ooool0ooooG03oool00`00ool0oooo0?ooo`13 0?ooo`008@3oool00`000000oooo0?ooo`1>0?ooo`03001Vo`3oool0oooo0?l0ooooo`3ooomL0?oo o`03003oo`3oool0oooo04<0oooo000Q0?ooo`030000003oool0oooo04h0oooo00<006Ko0?ooo`3o ool0o`3ooooo0?oooed0oooo00<00?oo0?ooo`3oool0@P3oool00240oooo00<000000?ooo`3oool0 CP3oool00`00I_l0oooo0?ooo`3o0?ooool0ooooG@3oool00`00ool0oooo0?ooo`120?ooo`008@3o ool00`000000oooo0?ooo`1>0?ooo`03001Vo`3oool0oooo0?l0ooooo`3ooomN0?ooo`03003oo`3o ool0oooo0440oooo000Q0?ooo`030000003oool0oooo04h0oooo00<006Ko0?ooo`3oool0o`3ooooo 0?oooeh0oooo00<00?oo0?ooo`3oool0@@3oool00240oooo00<000000?ooo`3oool0CP3oool00`00 I_l0oooo0?ooo`3o0?ooool0ooooG`3oool00`00ool0oooo0?ooo`100?ooo`008@3oool4000004h0 oooo00<006Ko0?ooo`3oool0o`3ooooo0?oooel0oooo00<00?oo0?ooo`3oool0?`3oool00240oooo 00<000000?ooo`3oool0C`3oool00`00I_l0oooo0?ooo`3o0?ooool0ooooG`3oool00`00ool0oooo 0?ooo`0o0?ooo`008@3oool00`000000oooo0?ooo`1?0?ooo`03001Vo`3oool0oooo0?l0ooooo`3o oomP0?ooo`03003oo`3oool0oooo03h0oooo000Q0?ooo`030000003oool0oooo04l0oooo00<006Ko 0?ooo`3oool0o`3ooooo0?ooof00oooo00<00?oo0?ooo`3oool0?P3oool00240oooo00<000000?oo o`3oool0C`3oool00`00I_l0oooo0?ooo`3o0?ooool0ooooH@3oool00`00ool0oooo0?ooo`0m0?oo o`008@3oool00`000000oooo0?ooo`1?0?ooo`03001Vo`3oool0oooo0?l0ooooo`3ooomQ0?ooo`03 003oo`3oool0oooo03d0oooo000Q0?ooo`030000003oool0oooo04l0oooo00<006Ko0?ooo`3oool0 o`3ooooo0?ooof80oooo00<00?oo0?ooo`3oool0?03oool00240oooo00<000000?ooo`3oool0C`3o ool00`00I_l0oooo0?ooo`3o0?ooool0ooooHP3oool00`00ool0oooo0?ooo`0l0?ooo`008@3oool0 0`000000oooo0?ooo`1?0?ooo`03001Vo`3oool0oooo0?l0ooooo`3ooomS0?ooo`03003oo`3oool0 oooo03/0oooo000Q0?ooo`030000003oool0oooo04l0oooo00<006Ko0?ooo`3oool0o`3ooooo0?oo of<0oooo00<00?oo0?ooo`3oool0>`3oool00240oooo00<000000?ooo`3oool0C`3oool00`00I_l0 oooo0?ooo`3o0?ooool0ooooI03oool00`00ool0oooo0?ooo`0j0?ooo`008@3oool4000004h0oooo 00<006Ko0?ooo`3oool0o`3ooooo0?ooof@0oooo00<00?oo0?ooo`3oool0>P3oool00240oooo00<0 00000?ooo`3oool0D03oool00`00I_l0oooo0?ooo`3o0?ooool0ooooI03oool00`00ool0oooo0?oo o`0i0?ooo`008@3oool00`000000oooo0?ooo`1@0?ooo`03001Vo`3oool0oooo0?l0ooooo`3ooomT 0?ooo`03003oo`3oool0oooo03T0oooo000Q0?ooo`030000003oool0oooo0500oooo00<006Ko0?oo o`3oool0o`3ooooo0?ooofD0oooo00<00?oo0?ooo`3oool0>03oool00240oooo00<000000?ooo`3o ool0D03oool00`00I_l0oooo0?ooo`3o0?ooool0ooooI@3oool00`00ool0oooo0?ooo`0h0?ooo`00 8@3oool00`000000oooo0?ooo`1@0?ooo`03001Vo`3oool0oooo0?l0ooooo`3ooomV0?ooo`03003o o`3oool0oooo03L0oooo000Q0?ooo`030000003oool0oooo0500oooo00<006Ko0?ooo`3oool0o`3o oooo0?ooofH0oooo00<00?oo0?ooo`3oool0=`3oool00240oooo00<000000?ooo`3oool0D03oool0 0`00I_l0oooo0?ooo`3o0?ooool0ooooI`3oool00`00ool0oooo0?ooo`0f0?ooo`008@3oool00`00 0000oooo0?ooo`1@0?ooo`03001Vo`3oool0oooo0?l0ooooo`3ooomW0?ooo`03003oo`3oool0oooo 03H0oooo000Q0?ooo`030000003oool0oooo0500oooo00<006Ko0?ooo`3oool0o`3ooooo0?ooofP0 oooo00<00?oo0?ooo`3oool0=@3oool000070?oo_`1d000000000000000004P0W=oo0?noM0030000 00060000M02oool0oooo0?oo_`1d000004RL0`3oool0103OW4P0000000000018W=l:0?ooo`030000 003oool0oooo0500oooo00<006Ko0?ooo`3oool0o`3ooooo0?ooofP0oooo00<00?oo0?ooo`3oool0 =@3oool00080oooo00<0okmd04RLg`3oool00P3oool00`2LB000001d0;ooo`080?ooo`060?oOW018 B9`0oooo0?ooo`2LB4P0W=oo2@3oool00`000000oooo0?ooo`1@0?ooo`03001Vo`3oool0oooo0?l0 ooooo`3ooomY0?ooo`03003oo`3oool0oooo03@0oooo00020?ooo`030?noM018W=l0oooo00<0oooo 00<0okmd0000001d_ol02`3oool00`2oM4P0W=oo0?ooo`080?ooo`H00000C@3oool00`00I_l0oooo 0?ooo`3o0?ooool0ooooJ@3oool00`00ool0oooo0?ooo`0d0?ooo`000P3oool00`3o_g@0B9cO0?oo o`040?ooo`030?oo_`2o_ol0oooo00L0oooo00@0_g@000000000000007Bo2P3oool00`000000oooo 0?ooo`1A0?ooo`03001Vo`3oool0oooo0?l0ooooo`3ooomY0?ooo`03003oo`3oool0oooo03<0oooo 0000103oool0W4Qd0;noM018W=l20?ooo`060?oOW018B9`0oooo0?oo_`1d07@0_ooo1`3oool00`2o M4P0W=oo0?ooo`0;0?ooo`030000003oool0oooo0540oooo00<006Ko0?ooo`3oool0o`3ooooo0?oo ofT0oooo00<00?oo0?ooo`3oool0<`3oool000040?ooo`3o_g@0000004RLg`<0oooo00@0gia80000 00000000B9cO203oool0102oM000000000000000M;l:0?ooo`030000003oool0oooo0540oooo00<0 06Ko0?ooo`3oool0o`3ooooo0?ooofX0oooo00<00?oo0?ooo`3oool00?ooo`030?noM018W=l0oooo00D0oooo00<0_gA809cOo`3oool0203o ool600000580oooo00<006Ko0?ooo`3oool0o`3ooooo0?ooogh0oooo00<00?oo0?ooo`3oool06P3o ool000h0oooo00<0okmd04RLg`3oool00P3oool0102oM000000000000000M;l:0?ooo`030000003o ool0oooo05D0oooo00<006Ko0?ooo`3oool0o`3ooooo0?ooogl0oooo00<00?oo0?ooo`3oool06@3o ool000d0oooo00<0W4Qd0;noM018W=l00`3oool00`2oM4P0W=oo0?ooo`0;0?ooo`030000003oool0 oooo05D0oooo00<006Ko0?ooo`3oool0o`3ooooo0?ooogl0oooo00<00?oo0?ooo`3oool06@3oool0 00d0oooo00<0okmd00000018W=l00`3oool0102oM000000000000000M;l:0?ooo`030000003oool0 oooo05D0oooo00<006Ko0?ooo`3oool0o`3ooooo0?oooh00oooo00<00?oo0?ooo`3oool0603oool0 0240oooo00<000000?ooo`3oool0E@3oool00`00I_l0oooo0?ooo`3o0?ooool0ooooP03oool00`00 ool0oooo0?ooo`0H0?ooo`008@3oool00`000000oooo0?ooo`1F0?ooo`03001Vo`3oool0oooo0?l0 ooooo`3ooomo0?ooo`03003oo`3oool0oooo01P0oooo000Q0?ooo`030000003oool0oooo05H0oooo 00<006Ko0?ooo`3oool0o`3ooooo0?oooh00oooo00<00?oo0?ooo`3oool05`3oool00240oooo00<0 00000?ooo`3oool0EP3oool00`00I_l0oooo0?ooo`3o0?ooool0ooooP03oool00`00ool0oooo0?oo o`0G0?ooo`008@3oool00`000000oooo0?ooo`1F0?ooo`03001Vo`3oool0oooo0?l0ooooo`3ooon1 0?ooo`03003oo`3oool0oooo01H0oooo000Q0?ooo`030000003oool0oooo05H0oooo00<006Ko0?oo o`3oool0o`3ooooo0?oooh40oooo00<00?oo0?ooo`3oool05P3oool00240oooo00<000000?ooo`3o ool0EP3oool00`00I_l0oooo0?ooo`3o0?ooool0ooooP@3oool00`00ool0oooo0?ooo`0F0?ooo`00 8@3oool4000005D0oooo00<006Ko0?ooo`3oool0o`3ooooo0?oooh80oooo00<00?oo0?ooo`3oool0 5@3oool00240oooo00<000000?ooo`3oool0EP3oool00`00I_l0oooo0?ooo`3o0?ooool0ooooPP3o ool00`00ool0oooo0?ooo`0E0?ooo`008@3oool00`000000oooo0?ooo`1F0?ooo`03001Vo`3oool0 oooo0?l0ooooo`3ooon30?ooo`03003oo`3oool0oooo01@0oooo000Q0?ooo`030000003oool0oooo 05H0oooo00<006Ko0?ooo`3oool0o`3ooooo0?oooh<0oooo00<00?oo0?ooo`3oool0503oool00240 oooo00<000000?ooo`3oool0EP3oool00`00I_l0oooo0?ooo`3o0?ooool0ooooQ03oool00`00ool0 oooo0?ooo`0C0?ooo`008@3oool00`000000oooo0?ooo`1F0?ooo`03001Vo`3oool0oooo0?l0oooo o`3ooon40?ooo`03003oo`3oool0oooo01<0oooo000Q0?ooo`030000003oool0oooo05L0oooo00<0 06Ko0?ooo`3oool0o`3ooooo0?oooh<0oooo00<00?oo0?ooo`3oool04`3oool00240oooo00<00000 0?ooo`3oool0E`3oool00`00I_l0oooo0?ooo`3o0?ooool0ooooQ03oool00`00ool0oooo0?ooo`0B 0?ooo`008@3oool00`000000oooo0?ooo`1G0?ooo`03001Vo`3oool0oooo0?l0ooooo`3ooon40?oo o`03003oo`3oool0oooo0180oooo000Q0?ooo`030000003oool0oooo05L0oooo00<006Ko0?ooo`3o ool0o`3ooooo0?oooh@0oooo00<00?oo0?ooo`3oool04P3oool00240oooo00<000000?ooo`3oool0 E`3oool00`00I_l0oooo0?ooo`3o0?ooool0ooooQ@3oool00`00ool0oooo0?ooo`0A0?ooo`008@3o ool00`000000oooo0?ooo`1G0?ooo`03001Vo`3oool0oooo0?l0ooooo`3ooon50?ooo`03003oo`3o ool0oooo0140oooo000Q0?ooo`@00000EP3oool00`00I_l0oooo0?ooo`3o0?ooool0ooooQ@3oool0 0`00ool0oooo0?ooo`0A0?ooo`008@3oool00`000000oooo0?ooo`1G0?ooo`03001Vo`3oool0oooo 0?l0ooooo`3ooon60?ooo`03003oo`3oool0oooo0100oooo000Q0?ooo`030000003oool0oooo05L0 oooo00<006Ko0?ooo`3oool0o`3ooooo0?ooohH0oooo00<00?oo0?ooo`3oool0403oool00240oooo 00<000000?ooo`3oool0E`3oool00`00I_l0oooo0?ooo`3o0?ooool0ooooQP3oool00`00ool0oooo 0?ooo`0@0?ooo`008@3oool00`000000oooo0?ooo`1G0?ooo`03001Vo`3oool0oooo0?l0ooooo`3o oon70?ooo`03003oo`3oool0oooo00l0oooo000Q0?ooo`030000003oool0oooo05L0oooo00<006Ko 0?ooo`3oool0o`3ooooo0?ooohL0oooo00<00?oo0?ooo`3oool03`3oool00240oooo00<000000?oo o`3oool0E`3oool00`00I_l0oooo0?ooo`3o0?ooool0ooooQ`3oool00`00ool0oooo0?ooo`0?0?oo o`008@3oool00`000000oooo0?ooo`1G0?ooo`03001Vo`3oool0oooo0?l0ooooo`3ooon80?ooo`03 003oo`3oool0oooo00h0oooo000Q0?ooo`030000003oool0oooo05L0oooo00<006Ko0?ooo`3oool0 o`3ooooo0?ooohP0oooo00<00?oo0?ooo`3oool03P3oool00240oooo00<000000?ooo`3oool0E`3o ool00`00I_l0oooo0?ooo`3o0?ooool0ooooR03oool00`00ool0oooo0?ooo`0>0?ooo`008@3oool0 0`000000oooo0?ooo`1G0?ooo`03001Vo`3oool0oooo0?l0ooooo`3ooon90?ooo`03003oo`3oool0 oooo00d0oooo000Q0?ooo`030000003oool0oooo05L0oooo00<006Ko0?ooo`3oool0o`3ooooo0?oo ohT0oooo00<00?oo0?ooo`3oool03@3oool00240oooo1000001F0?ooo`03001Vo`3oool0oooo0?l0 ooooo`3ooon90?ooo`03003oo`3oool0oooo00d0oooo000Q0?ooo`030000003oool0oooo05L0oooo 00<006Ko0?ooo`3oool0o`3ooooo0?ooohX0oooo00<00?oo0?ooo`3oool0303oool00240oooo00<0 00000?ooo`3oool0E`3oool00`00I_l0oooo0?ooo`3o0?ooool0ooooRP3oool00`00ool0oooo0?oo o`0<0?ooo`008@3oool00`000000oooo0?ooo`1G0?ooo`03001Vo`3oool0oooo0?l0ooooo`3ooon; 0?ooo`03003oo`3oool0oooo00/0oooo000Q0?ooo`030000003oool0oooo05P0oooo00<006Ko0?oo o`3oool0o`3ooooo0?ooohX0oooo00<00?oo0?ooo`3oool02`3oool00240oooo00<000000?ooo`3o ool0F03oool00`00I_l0oooo0?ooo`3o0?ooool0ooooRP3oool00`00ool0oooo0?ooo`0;0?ooo`00 8@3oool00`000000oooo0?ooo`1H0?ooo`03001Vo`3oool0oooo0?l0ooooo`3ooon;0?ooo`03003o o`3oool0oooo00X0oooo000Q0?ooo`030000003oool0oooo05P0oooo00<006Ko0?ooo`3oool0o`3o oooo0?oooh/0oooo00<00?oo0?ooo`3oool02P3oool00240oooo00<000000?ooo`3oool0F03oool0 0`00I_l0oooo0?ooo`3o0?ooool0ooooR`3oool00`00ool0oooo0?ooo`0:0?ooo`008@3oool00`00 0000oooo0?ooo`1H0?ooo`03001Vo`3oool0oooo0?l0ooooo`3ooon<0?ooo`03003oo`3oool0oooo 00T0oooo000Q0?ooo`030000003oool0oooo05P0oooo00<006Ko0?ooo`3oool0o`3ooooo0?oooh`0 oooo00<00?oo0?ooo`3oool02@3oool00240oooo1000001G0?ooo`03001Vo`3oool0oooo0?l0oooo o`3ooon<0?ooo`03003oo`3oool0oooo00T0oooo000Q0?ooo`030000003oool0oooo05P0oooo00<0 06Ko0?ooo`3oool0o`3ooooo0?ooohd0oooo00<00?oo0?ooo`3oool0203oool00240oooo00<00000 0?ooo`3oool0F03oool00`00I_l0oooo0?ooo`3o0?ooool0ooooS@3oool00`00ool0oooo0?ooo`08 0?ooo`008@3oool00`000000oooo0?ooo`1H0?ooo`03001Vo`3oool0oooo0?l0ooooo`3ooon=0?oo o`03003oo`3oool0oooo00P0oooo000Q0?ooo`030000003oool0oooo05P0oooo00<006Ko0?ooo`3o ool0o`3ooooo0?ooohh0oooo00<00?oo0?ooo`3oool01`3oool00240oooo00<000000?ooo`3oool0 F03oool00`00I_l0oooo0?ooo`3o0?ooool0ooooSP3oool00`00ool0oooo0?ooo`070?ooo`008@3o ool00`000000oooo0?ooo`1H0?ooo`03001Vo`3oool0oooo0?l0ooooo`3ooon>0?ooo`03003oo`3o ool0oooo00L0oooo000Q0?ooo`030000003oool0oooo05P0oooo00<006Ko0?ooo`3oool0o`3ooooo 0?ooohl0oooo00<00?oo0?ooo`3oool01P3oool00240oooo00<000000?ooo`3oool0F03oool00`00 I_l0oooo0?ooo`3o0?ooool0ooooS`3oool00`00ool0oooo0?ooo`060?ooo`008@3oool00`000000 oooo0?ooo`1H0?ooo`03001Vo`3oool0oooo0?l0ooooo`3ooon?0?ooo`03003oo`3oool0oooo00H0 oooo00001P3ookl0M000000000000000001809cOo`80oooo00<0gia807Boo`3oool00P3oool00`3o okl0M0000018W0030?ooo`040=nLB0000000000004RLg`X0oooo00<000000?ooo`3oool0F03oool0 0`00I_l0oooo0?ooo`3o0?ooool0ooooT03oool00`00ool0oooo0?ooo`050?ooo`000P3oool00`3o _g@0B9cO0?ooo`030?ooo`030?oo_`1dM;l0oooo00L0oooo00H0omnL04Q8W03oool0oooo09a8B02L gol90?ooo`030000003oool0oooo05P0oooo00<006Ko0?ooo`3oool0o`3ooooo0?oooi00oooo00<0 0?oo0?ooo`3oool01@3oool00080oooo00<0okmd04RLg`3oool0103oool00`2oM7@0_ooo0?ooo`0: 0?ooo`030;mdB02Lgol0oooo00P0oooo1P00001E0?ooo`03001Vo`3oool0oooo0?l0ooooo`3ooonH 0?ooo`000P3oool00`3o_g@0B9cO0?ooo`040?ooo`030?noM018W=l0oooo00L0oooo00@0_g@00000 0000000007Bo2P3oool00`000000oooo0?ooo`1H0?ooo`03001Vo`3oool0oooo0?l0ooooo`3ooonH 0?ooo`0000@0oooo09a8M02o_g@0B9cO0P3oool01@3ogi`0B7Bo0?ooo`3ookl0M4RL00P0oooo00<0 _gA809cOo`3oool02`3oool00`000000oooo0?ooo`1H0?ooo`03001Vo`3oool0oooo0?l0ooooo`3o oonH0?ooo`0000@0oooo0?noM0000000B9cO0P3oool01P3ogi`0B000000000000000001d0;ooo`L0 oooo00@0_g@000000000000007Bo2P3oool00`000000oooo0?ooo`1H0?ooo`03001Vo`3oool0oooo 0?l0ooooo`3ooonH0?ooo`008@3oool00`000000oooo0?ooo`1H0?ooo`03001Vo`3oool0oooo0?l0 ooooo`3ooonH0?ooo`008@3oool00`000000oooo0?ooo`1H0?ooo`03001Vo`3oool0oooo0?l0oooo o`3ooonH0?ooo`008@3oool00`000000oooo0?ooo`1H0?ooo`03001Vo`3oool0oooo0?l0ooooo`3o oonH0?ooo`008@3oool00`000000oooo0?ooo`1H0?ooo`03001Vo`3oool0oooo0?l0ooooo`3ooonH 0?ooo`008@3oool00`000000oooo0?ooo`1H0?ooo`03001Vo`3oool0oooo0?l0ooooo`3ooonH0?oo o`008@3oool00`000000oooo0?ooo`1H0?ooo`03001Vo`3oool0oooo0?l0ooooo`3ooonH0?ooo`00 8@3oool00`000000oooo0?ooo`1H0?ooo`03001Vo`3oool0oooo0?l0ooooo`3ooonH0?ooo`008@3o ool4000005L0oooo00<006Ko0?ooo`3oool0o`3ooooo0?oooiP0oooo000Q0?ooo`030000003oool0 oooo05T0oooo00<006Ko0?ooo`3oool0o`3ooooo0?oooiL0oooo000Q0?ooo`030000003oool0oooo 05T0oooo00<006Ko0?ooo`3oool0o`3ooooo0?oooiL0oooo000Q0?ooo`030000003oool0oooo05T0 oooo00<006Ko0?ooo`3oool0o`3ooooo0?oooiL0oooo000Q0?ooo`030000003oool0oooo05T0oooo 00<006Ko0?ooo`3oool0o`3ooooo0?oooiL0oooo000Q0?ooo`030000003oool0oooo05T0oooo00<0 06Ko0?ooo`3oool0o`3ooooo0?oooiL0oooo000Q0?ooo`030000003oool0oooo05T0oooo00<006Ko 0?ooo`3oool0o`3ooooo0?oooiL0oooo000Q0?ooo`030000003oool0oooo05T0oooo00<006Ko0?oo o`3oool0o`3ooooo0?oooiL0oooo000Q0?ooo`030000003oool0oooo05T0oooo00<006Ko0?ooo`3o ool0o`3ooooo0?oooiL0oooo000Q0?ooo`030000003oool0oooo05T0oooo00<006Ko0?ooo`3oool0 o`3ooooo0?oooiL0oooo000Q0?ooo`030000003oool0oooo05T0oooo00<006Ko0?ooo`3oool0o`3o oooo0?oooiL0oooo000Q0?ooo`030000003oool0oooo05T0oooo00<006Ko0?ooo`3oool0o`3ooooo 0?oooiL0oooo000Q0?ooo`@00000F03oool00`00I_l0oooo0?ooo`3o0?ooool0ooooU`3oool00240 oooo00<000000?ooo`3oool0F@3oool00`00I_l0oooo0?ooo`3o0?ooool0ooooU`3oool00240oooo 00<000000?ooo`3oool0F@3oool00`00I_l0oooo0?ooo`3o0?ooool0ooooU`3oool00240oooo00<0 00000?ooo`3oool0F@3oool00`00I_l0oooo0?ooo`3o0?ooool0ooooU`3oool00240oooo00<00000 0?ooo`3oool0F@3oool00`00I_l0oooo0?ooo`3o0?ooool0ooooU`3oool00240oooo00<000000?oo o`3oool0F@3oool00`00I_l0oooo0?ooo`3o0?ooool0ooooU`3oool00240oooo00<000000?ooo`3o ool0F@3oool00`00I_l0oooo0?ooo`3o0?ooool0ooooU`3oool00240oooo00<000000?ooo`3oool0 F@3oool00`00I_l0oooo0?ooo`3o0?ooool0ooooU`3oool00240oooo00<000000?ooo`3oool0F@3o ool00`00I_l0oooo0?ooo`3o0?ooool0ooooU`3oool00240oooo00<000000?ooo`3oool0F@3oool0 0`00I_l0oooo0?ooo`3o0?ooool0ooooU`3oool00240oooo00<000000?ooo`3oool0F@3oool00`00 I_l0oooo0?ooo`3o0?ooool0ooooU`3oool00240oooo1000001H0?ooo`03001Vo`3oool0oooo0?l0 ooooo`3ooonG0?ooo`008@3oool00`000000oooo0?ooo`1I0?ooo`03001Vo`3oool0oooo0?l0oooo o`3ooonG0?ooo`008@3oool00`000000oooo0?ooo`1I0?ooo`03001Vo`3oool0oooo0?l0ooooo`3o oonG0?ooo`008@3oool00`000000oooo0?ooo`1I0?ooo`03001Vo`3oool0oooo0?l0ooooo`3ooonG 0?ooo`008@3oool00`000000oooo0?ooo`1I0?ooo`03001Vo`3oool0oooo0?l0ooooo`3ooonG0?oo o`008@3oool00`000000oooo0?ooo`1I0?ooo`03001Vo`3oool0oooo0?l0ooooo`3ooonG0?ooo`00 8@3oool00`000000oooo0?ooo`1I0?ooo`03001Vo`3oool0oooo0?l0ooooo`3ooonG0?ooo`008@3o ool00`000000oooo0?ooo`1I0?ooo`03001Vo`3oool0oooo0?l0ooooo`3ooonG0?ooo`008@3oool0 0`000000oooo0?ooo`1I0?ooo`03001Vo`3oool0oooo0?l0ooooo`3ooonG0?ooo`008@3oool00`00 0000oooo0?ooo`1J0?ooo`03001Vo`3oool0oooo0?l0ooooo`3ooonF0?ooo`008@3oool00`000000 oooo0?ooo`1J0?ooo`03001Vo`3oool0oooo0?l0ooooo`3ooonF0?ooo`008@3oool00`000000oooo 0?ooo`1J0?ooo`03001Vo`3oool0oooo0?l0ooooo`3ooonF0?ooo`008@3oool4000005T0oooo00<0 06Ko0?ooo`3oool0o`3ooooo0?oooiH0oooo000Q0?ooo`030000003oool0oooo05X0oooo00<006Ko 0?ooo`3oool0o`3ooooo0?oooiH0oooo000Q0?ooo`030000003oool0oooo05X0oooo00<006Ko0?oo o`3oool0o`3ooooo0?oooiH0oooo000Q0?ooo`030000003oool0oooo05X0oooo00<006Ko0?ooo`3o ool0o`3ooooo0?oooiH0oooo000Q0?ooo`030000003oool0oooo05X0oooo00<006Ko0?ooo`3oool0 o`3ooooo0?oooiH0oooo000Q0?ooo`030000003oool0oooo05X0oooo00<006Ko0?ooo`3oool0o`3o oooo0?oooiH0oooo000Q0?ooo`030000003oool0oooo05X0oooo00<006Ko0?ooo`3oool0o`3ooooo 0?oooiH0oooo000Q0?ooo`030000003oool0oooo05X0oooo00<006Ko0?ooo`3oool0o`3ooooo0?oo oiH0oooo000Q0?ooo`030000003oool0oooo05X0oooo00<006Ko0?ooo`3oool0o`3ooooo0?oooiH0 oooo000Q0?ooo`030000003oool0oooo05X0oooo00<006Ko0?ooo`3oool0o`3ooooo0?oooiH0oooo 000<0?ooo`080?noM000000000000000000007@0_ooo0?ooo`3OW4P20000000304RLg`3oool0oooo 00P0oooo00<000000?ooo`3oool0FP3oool00`00I_l0oooo0?ooo`3o0?ooool0ooooUP3oool000d0 oooo00<0W4P00000M02oool00`3oool01@2LM9`0oooo0?ooo`2LB7@0_ooo00T0oooo00<000000?oo o`3oool0FP3oool00`00I_l0oooo0?ooo`3o0?ooool0ooooUP3oool000h0oooo00H0okmd0000001d _ol0oooo0?oo_`1dB9`20?ooo`030;mdB02Lgol0oooo00P0oooo1P00001G0?ooo`03001Vo`3oool0 oooo0?l0ooooo`3ooonF0?ooo`003`3oool01@3ookl0_koo0?ooo`3ookl0M4RL0080oooo00<0_gA8 09cOo`3oool0o`3ooooo0?ooooh0oooo000<0?ooo`0<0?oOW018B9`0oooo0?oo_`1d07@0_ooo0?oo o`2LB4P0W=oo0?oo_`1d07@0_oooo`3ooooo0?ooool0oooo000=0?ooo`040=nLB0000000000004RL g`80oooo00@0omnL04P000000000M;ooo`3ooooo0?ooool0oooo0@3oool00?l0ooooo`3ooooo0?oo oaP0oooo0000\ \>"], ImageRangeCache->{{{0, 788}, {486.438, 0}} -> {-2.22817, -0.813018, \ 0.0667883, 0.0432263}}], Cell[BoxData[ TagBox[\(\[SkeletonIndicator] Graphics \[SkeletonIndicator]\), False, Editable->False]], "Output"] }, Open ]], Cell[CellGroupData[{ Cell["\<\ Experiment 4: Richardson, k = 0, n = 64, vary \[Alpha]\ \>", "Subsection"], Cell["\<\ Take the Richardson algorithm, use k = 0 for the initial estimate, n = 64. \ Use 50 steps, and try \[Alpha]=3, 2, 1.99, 1.95, 1.9, 1.5.\ \>", "Text"], Cell[BoxData[{ \(\(exp41\ = \ N[RunAlgorithm[RichardsonStep, 50, \ InitialX[0, \ 64], \ Table[0, \ {i, \ 1, 64}], \ 64, \ 3]];\)\), "\[IndentingNewLine]", \(\(exp42\ = \ N[RunAlgorithm[RichardsonStep, 50, \ InitialX[0, \ 64], \ Table[0, \ {i, \ 1, 64}], \ 64, \ 2]];\)\), "\[IndentingNewLine]", \(\(exp43\ = \ N[RunAlgorithm[RichardsonStep, 50, \ InitialX[0, \ 64], \ Table[0, \ {i, \ 1, 64}], \ 64, \ 1.99]];\)\), "\[IndentingNewLine]", \(\(exp44\ = \ N[RunAlgorithm[RichardsonStep, 50, \ InitialX[0, \ 64], \ Table[0, \ {i, \ 1, 64}], \ 64, \ 1.95]];\)\), "\[IndentingNewLine]", \(\(exp45\ = \ N[RunAlgorithm[RichardsonStep, 50, \ InitialX[0, \ 64], \ Table[0, \ {i, \ 1, 64}], \ 64, \ 1.9]];\)\), "\[IndentingNewLine]", \(\(exp46\ = \ N[RunAlgorithm[RichardsonStep, 50, \ InitialX[0, \ 64], \ Table[0, \ {i, \ 1, 64}], \ 64, \ 1.5]];\)\)}], "Input"], Cell["\<\ The Richardson method converges for \[Alpha] = 3, does not improve for \ \[Alpha] = 2, and diverges for smaller \[Alpha]. (Raw data below). \ \>", "Text"], Cell[CellGroupData[{ Cell[BoxData[{ \(exp41\), "\[IndentingNewLine]", \(exp42\), "\[IndentingNewLine]", \(exp43\), "\[IndentingNewLine]", \(exp44\), "\[IndentingNewLine]", \(exp45\), "\[IndentingNewLine]", \(exp46\)}], "Input"], Cell[BoxData[ \({{\(-2.2569393858564827`*^26\), 8.762838595852564`*^26, \(-1.4259892477083694`*^27\), 1.8194099946377366`*^27, \(-2.0291349303137315`*^27\), 2.0578560955499428`*^27, \(-1.9337661000494508`*^27\), 1.701274252694345`*^27, \(-1.4100675833458335`*^27\), 1.1054458275303807`*^27, \(-8.219005008150911`*^26\), 5.8058139289626404`*^26, \(-3.901151819480305`*^26\), 2.4954625020019674`*^26, \(-1.5203551640019228`*^26\), 8.82423147780983`*^25, \(-4.879363136629315`*^25\), 2.5700896910685373`*^25, \(-1.2891801787508676`*^25\), 6.155780384549709`*^24, \(-2.796577772047332`*^24\), 1.2079891544854613`*^24, \(-4.957444372047706`*^23\), 1.931190175757555`*^23, \(-7.1338447160449685`*^22\), 2.4960593756275998`*^22, \(-8.26148210260735`*^21\), 2.5828776032011236`*^21, \(-7.615141371176489`*^20\), 2.1123527468295127`*^20, \(-5.445685201942827`*^19\), 1.0391823491905225`*^19, 1.0391823491905227`*^19, \(-5.445685201942827`*^19\), 2.1123527468295124`*^20, \(-7.615141371176487`*^20\), 2.5828776032011236`*^21, \(-8.261482102607348`*^21\), 2.4960593756276`*^22, \(-7.133844716044966`*^22\), 1.9311901757575544`*^23, \(-4.957444372047706`*^23\), 1.2079891544854613`*^24, \(-2.7965777720473325`*^24\), 6.155780384549711`*^24, \(-1.289180178750868`*^25\), 2.5700896910685373`*^25, \(-4.879363136629314`*^25\), 8.824231477809829`*^25, \(-1.5203551640019221`*^26\), 2.4954625020019664`*^26, \(-3.9011518194803035`*^26\), 5.805813928962639`*^26, \(-8.219005008150908`*^26\), 1.1054458275303805`*^27, \(-1.4100675833458335`*^27\), 1.701274252694345`*^27, \(-1.9337661000494516`*^27\), 2.057856095549943`*^27, \(-2.029134930313732`*^27\), 1.819409994637737`*^27, \(-1.4259892477083697`*^27\), 8.762838595852564`*^26, \(-2.2569393858564827`*^26\)}, {1.`, 1.`, 1.`, 2.`, 6.`, 18.`, 57.`, 193.`, 690.`, 2476.`, 8928.`, 32358.`, 117866.`, 431381.`, 1.585842`*^6, 5.853849`*^6, 2.1721086`*^7, 8.2496112`*^7, 3.13569264`*^8, 1.193009928`*^9, 4.543626426`*^9, 1.7323253772`*^10, 6.6120050136`*^10, 2.526470583`*^11, 9.66423964996`*^11, 3.700707879976`*^12, 1.4185819576788`*^13, 5.4433199024726`*^13, 2.09073720897417`*^14, 8.03798323381866`*^14, 3.112532808365388`*^15, 1.2088175627531792`*^16, 4.696216598694608`*^16, 1.8250871757306608`*^17, 7.095331774074688`*^17, 2.759428504081834`*^18, 1.0735574470363769`*^19, 4.178230367587625`*^19, 1.626749834494931`*^20, 6.335925853774856`*^20, 2.4686491789161797`*^21, 9.622041631939463`*^21, 3.7517325979091472`*^22, 1.4633602384592521`*^23, 5.70982856613029`*^23, 2.2286654437148133`*^24, 8.701900267686907`*^24, 3.4043634475855574`*^25, 1.3358763680436492`*^26, 5.242744107838661`*^26}, {1.`, 1.`, 3.`, 8.`, 24.`, 75.`, 247.`, 883.`, 3166.`, 11404.`, 41286.`, 150224.`, 549247.`, 2.017223`*^6, 7.439691`*^6, 2.7544227`*^7, 1.04217198`*^8, 3.96065376`*^8, 1.506579192`*^9, 5.736636354`*^9, 2.1866880198`*^10, 8.3443303908`*^10, 3.18767108436`*^11, 1.219071023296`*^12, 4.667131844972`*^12, 1.7886527456764`*^13, 6.8619018601514`*^13, 2.63506919922143`*^14, 1.012872044279283`*^15, 3.914206044676611`*^15, 1.520070843589718`*^16, 5.905034161447787`*^16, 2.2947088356001216`*^17, 8.920418949805348`*^17, 3.468961681489303`*^18, 1.3495002974445603`*^19, 5.251787814624002`*^19, 2.0445728712536936`*^20, 7.962675688269787`*^20, 3.102241764293665`*^21, 1.2090690810855643`*^22, 4.713936761103093`*^22, 1.838533498250167`*^23, 7.173188804589542`*^23, 2.7996483003278423`*^24, 1.093056571140172`*^25, 4.27205482513247`*^25, 1.676312712802205`*^26, 6.57862047588231`*^26, 2.582130506333809`*^27, 0.`}}\)], "Output"], Cell[BoxData[ \({{1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`}, {1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`, 1.`}, {0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`, 0.`}}\)], "Output"], Cell[BoxData[ \({{1.575742660344183`*^18, \(-4.573957504892805`*^18\), 7.180625472581769`*^18, \(-9.196523837363272`*^18\), 1.0501891547220664`*^19, \(-1.1066397432299678`*^19\), 1.094371063789525`*^19, \(-1.025328681396985`*^19\), 9.15435945866449`*^18, \(-7.818044688116413`*^18\), 6.402894118505174`*^18, \(-5.037545772321782`*^18\), 3.811947049067051`*^18, \(-2.7765914024722924`*^18\), 1.9477834068308024`*^18, \(-1.3163200073315528`*^18\), 8.570852245161421`*^17, \(-5.376646863947002`*^17\), 3.248998706831449`*^17, \(-1.8906517667116358`*^17\), 1.0590645153942056`*^17, \(-5.707689183967732`*^16\), 2.9577208616481252`*^16, \(-1.4726451321433608`*^16\), 7.039139678439728`*^15, \(-3.227057431420847`*^15\), 1.4173862066509345`*^15, \(-5.956909087295691`*^14\), 2.391568373333205`*^14, \(-9.133096099125428`*^13\), 3.2271632379603574`*^13, \(-7.788838329319274`*^12\), \ \(-7.788838329319279`*^12\), 3.227163237960358`*^13, \(-9.133096099125428`*^13\), 2.3915683733332047`*^14, \(-5.956909087295692`*^14\), 1.417386206650935`*^15, \(-3.227057431420848`*^15\), 7.039139678439729`*^15, \(-1.4726451321433608`*^16\), 2.9577208616481256`*^16, \(-5.707689183967735`*^16\), 1.0590645153942059`*^17, \(-1.8906517667116368`*^17\), 3.2489987068314515`*^17, \(-5.376646863947006`*^17\), 8.570852245161425`*^17, \(-1.3163200073315528`*^18\), 1.9477834068308024`*^18, \(-2.776591402472292`*^18\), 3.811947049067051`*^18, \(-5.03754577232178`*^18\), 6.402894118505171`*^18, \(-7.818044688116409`*^18\), 9.154359458664484`*^18, \(-1.025328681396984`*^19\), 1.0943710637895242`*^19, \(-1.1066397432299667`*^19\), 1.050189154722066`*^19, \(-9.19652383736327`*^18\), 7.180625472581768`*^18, \(-4.573957504892804`*^18\), 1.5757426603441828`*^18}, {1.`, 1.01`, 1.0201`, 1.030301`, 1.0503040100000003`, 1.0799100101000005`, 1.1591300506010016`, 1.3055748521010135`, 1.8129531091070918`, 2.7951480166283895`, 6.380210489652125`, 14.569607760579729`, 39.78958191591961`, 106.82752219888864`, 295.4352086311554`, 834.3831283777179`, 2343.7204864454525`, 6611.119866438479`, 18663.392342663217`, 52793.30630319191`, 149565.8015646596`, 424420.72650897806`, 1.2062072576226739`*^6, 3.433127733371226`*^6, 9.844813848163674`*^6, 2.8372435422888458`*^7, 8.18125737180174`*^7, 2.3604152683134168`*^8, 6.814096560055139`*^8, 1.968262433891979`*^9, 5.688706466290953`*^9, 1.6451252079037516`*^10, 4.760329655451094`*^10, 1.378238677403302`*^11, 3.992611900483053`*^11, 1.1572585260581934`*^12, 3.3561339464338467`*^12, 9.744039727912568`*^12, 2.8436640792538344`*^13, 8.3008010856987`*^13, 2.4236362244132225`*^14, 7.078202225429546`*^14, 2.0677035694257035`*^15, 6.041773624541796`*^15, 1.7658429011511476`*^16, 5.1623956946902256`*^16, 1.5096002154346886`*^17, 4.415537480988684`*^17, 1.2918600400678712`*^18, 3.7805650505359877`*^18}, {0.010000000000000009`, 0.010099999999999998`, 0.020001000000000158`, 0.030003010000000385`, 0.06930900010000074`, 0.15772600050100216`, 0.38126449999399603`, 1.0350875585000863`, 2.7124406878670424`, 7.279698068412076`, 19.54961609792827`, 52.95898752419575`, 144.15809487948505`, 402.262730830044`, 1129.8183370088732`, 3178.10361482317`, 8954.840352883932`, 25274.512209101696`, 71456.69864585513`, 202359.1078678515`, 573986.5280736376`, 1.630627984131652`*^6, 4.6393349909939`*^6, 1.3262530920187568`*^7, 3.821724927105213`*^7, 1.1018500914090586`*^8, 3.178541005493591`*^8, 9.174511828368555`*^8, 2.649672089897493`*^9, 7.656968900182932`*^9, 2.213995854532847`*^10, 6.4054548633548454`*^10, 1.8542716429484113`*^11, 5.370850577886355`*^11, 1.5565197161064988`*^12, 4.51339247249204`*^12, 1.3094329588816596`*^13, 3.8180680520450914`*^13, 1.1144465164952534`*^14, 3.2537163329830925`*^14, 9.501838449842769`*^14, 2.775523791968658`*^15, 8.1094771939675`*^15, 2.3700202636053272`*^16, 6.928238595841373`*^16, 2.0258397849037114`*^17, 5.925137696423373`*^17, 1.7334137881667397`*^18, 5.072425090603859`*^18, 1.4846962482835665`*^19, 0.`}}\)], "Output"], Cell[BoxData[ \({{4.0987982123529595`*^18, \(-1.1738651733029892`*^19\), 1.8387377660251466`*^19, \(-2.3543498435024204`*^19\), 2.6903625470717317`*^19, \(-2.8387586609332834`*^19\), 2.812559760416619`*^19, \(-2.6413741597648224`*^19\), 2.364985736038848`*^19, \(-2.0264275517151867`*^19\), 1.6658565290895147`*^19, \(-1.3161446759986516`*^19\), 1.000575783205973`*^19, \(-7.325372089145008`*^18\), 5.167382295175037`*^18, \(-3.513203555368721`*^18\), 2.3023955042826263`*^18, \(-1.4544092827398031`*^18\), 8.854260975836545`*^17, \(-5.193428757930123`*^17\), 2.933737640640321`*^17, \(-1.5952780033754758`*^17\), 8.345195618472645`*^16, \(-4.196743064962472`*^16\), 2.0272466992950544`*^16, \(-9.397470730437222`*^15\), 4.176009290505529`*^15, \(-1.7767290491625975`*^15\), 7.225434142729612`*^14, \(-2.796157900625321`*^14\), 1.0006863777834728`*^14, \(-2.43680903160014`*^13\), \ \(-2.4368090316001387`*^13\), 1.0006863777834728`*^14, \(-2.7961579006253212`*^14\), 7.225434142729614`*^14, \(-1.7767290491625978`*^15\), 4.1760092905055295`*^15, \(-9.397470730437226`*^15\), 2.0272466992950544`*^16, \(-4.196743064962472`*^16\), 8.345195618472645`*^16, \(-1.5952780033754758`*^17\), 2.933737640640321`*^17, \(-5.193428757930123`*^17\), 8.854260975836543`*^17, \(-1.4544092827398031`*^18\), 2.302395504282626`*^18, \(-3.513203555368722`*^18\), 5.167382295175036`*^18, \(-7.325372089145008`*^18\), 1.000575783205973`*^19, \(-1.3161446759986516`*^19\), 1.6658565290895147`*^19, \(-2.026427551715187`*^19\), 2.3649857360388485`*^19, \(-2.6413741597648237`*^19\), 2.8125597604166205`*^19, \(-2.8387586609332847`*^19\), 2.6903625470717325`*^19, \(-2.3543498435024208`*^19\), 1.8387377660251466`*^19, \(-1.1738651733029892`*^19\), 4.0987982123529585`*^18}, {1.`, 1.05`, 1.1025000000000003`, 1.1576250000000001`, 1.25800625`, 1.3987565624999998`, 1.7812831406249998`, 2.446787828906249`, 4.74871605316406`, 9.14207734097851`, 24.756400940996173`, 60.22474217165903`, 166.97422676696388`, 448.67706102259433`, 1234.7815095742963`, 3428.8254391684395`, 9510.279577682617`, 26451.47554001587`, 73669.06714997816`, 205555.05422809473`, 574474.498823316`, 1.6081358575497484`*^6, 4.508633427107404`*^6, 1.2659428447885925`*^7, 3.589281345990555`*^7, 1.0203584154312114`*^8, 2.902286040240087`*^8, 8.259990903996612`*^8, 2.352212680254201`*^9, 6.702455325818738`*^9, 1.91096156785373`*^10, 5.451666305618347`*^10, 1.5561919154779358`*^11, 4.444776553227897`*^11, 1.2702382680751987`*^12, 3.632151950431968`*^12, 1.0391568364309979`*^13, 2.98229208355397`*^13, 8.585658766412917`*^13, 2.4723112295029006`*^14, 7.121011531715175`*^14, 2.051593908301533`*^15, 5.912262708762613`*^15, 1.7042351961842768`*^16, 4.913819692210876`*^16, 1.41717270766624`*^17, 4.088272994297691`*^17, 1.1796955307421747`*^18, 3.404960553286568`*^18, 9.83026717133146`*^18}, {0.050000000000000044`, 0.05250000000000021`, 0.1001249999999998`, 0.1503812499999999`, 0.3336253124999995`, 0.7457515781249995`, 1.737812405468748`, 4.705245318007808`, 12.101497921560536`, 32.10918280939265`, 84.9811431126552`, 227.1989689386229`, 610.0181096774022`, 1683.4585705968907`, 4663.606948742736`, 12939.105016851057`, 35961.755117698485`, 100120.54268999404`, 279224.1213780729`, 780029.5530514107`, 2.182610356373064`*^6, 6.116769284657152`*^6, 1.7168061874993328`*^7, 4.85253078991724`*^7, 1.379286550030267`*^8, 3.9226444556712985`*^8, 1.1162276944236698`*^9, 3.178211770653862`*^9, 9.054668006072939`*^9, 2.5812071004356037`*^10, 7.362627873472076`*^10, 2.1013585460397705`*^11, 6.000968468705833`*^11, 1.7147159233979883`*^12, 4.902390218507166`*^12, 1.4023720314741945`*^13, 4.0184569129383484`*^13, 1.1567950849966888`*^14, 3.3308771061441925`*^14, 9.593322761218075`*^14, 2.7636950614730505`*^15, 7.963856617064146`*^15, 2.295461467060538`*^16, 6.618054888395153`*^16, 1.9085546768873277`*^17, 5.505445701963931`*^17, 1.588522830171944`*^18, 4.5846560840287427`*^18, 1.3235227724618027`*^19, 3.82178537806643`*^19, 0.`}}\)], "Output"], Cell[BoxData[ \({{3.5780414929105695`*^18, \(-1.0073683301888434`*^19\), 1.5733521935167066`*^19, \(-2.0137792041730273`*^19\), 2.303054306747323`*^19, \(-2.434069163842706`*^19\), 2.4172134826923667`*^19, \(-2.276785087699066`*^19\), 2.0457648962819244`*^19, \(-1.7601206873333203`*^19\), 1.4537131953039647`*^19, \(-1.1545662217594743`*^19\), 8.82843519118459`*^18, \(-6.504704692471366`*^18\), 4.620406878862612`*^18, \(-3.165008524674081`*^18\), 2.0910617524773504`*^18, \(-1.3324352115956849`*^18\), 8.187395651831903`*^17, \(-4.8500690408841805`*^17\), 2.768770510009074`*^17, \(-1.5224801086736403`*^17\), 8.059081056819605`*^16, \(-4.103803546919236`*^16\), 2.0086549714839936`*^16, \(-9.441529988598976`*^15\), 4.2573844458529845`*^15, \(-1.8394074368573605`*^15\), 7.601770894797436`*^14, \(-2.9910773926118875`*^14\), 1.087596682598579`*^14, \(-2.6778836332831902`*^13\), \ \(-2.677883633283191`*^13\), 1.0875966825985792`*^14, \(-2.991077392611888`*^14\), 7.601770894797439`*^14, \(-1.839407436857361`*^15\), 4.257384445852985`*^15, \(-9.441529988598978`*^15\), 2.008654971483994`*^16, \(-4.1038035469192376`*^16\), 8.05908105681961`*^16, \(-1.522480108673641`*^17\), 2.7687705100090755`*^17, \(-4.8500690408841824`*^17\), 8.187395651831908`*^17, \(-1.3324352115956854`*^18\), 2.0910617524773504`*^18, \(-3.165008524674082`*^18\), 4.620406878862611`*^18, \(-6.504704692471369`*^18\), 8.828435191184594`*^18, \(-1.154566221759475`*^19\), 1.4537131953039655`*^19, \(-1.7601206873333211`*^19\), 2.0457648962819252`*^19, \(-2.2767850876990677`*^19\), 2.417213482692367`*^19, \(-2.4340691638427062`*^19\), 2.3030543067473236`*^19, \(-2.0137792041730277`*^19\), 1.573352193516707`*^19, \(-1.0073683301888436`*^19\), 3.578041492910571`*^18}, {1.`, 1.1`, 1.2100000000000004`, 1.3310000000000004`, 1.5341000000000005`, 1.8001100000000005`, 2.540561000000001`, 3.7237111000000014`, 7.815917810000002`, 15.473591691000003`, 41.698170500100005`, 100.64284750611003`, 273.6735517362211`, 725.5402892423932`, 1961.025102588028`, 5352.925257431172`, 14588.03771862658`, 39879.19512268224`, 109152.31046275551`, 299341.3573603067`, 822239.8502749992`, 2.2623198768632826`*^6, 6.234259835242961`*^6, 1.7219050085635446`*^7, 4.808126718901522`*^7, 1.343322976141404`*^8, 3.7552341892933685`*^8, 1.0503983933451481`*^9, 2.939925539776856`*^9, 8.233522387322857`*^9, 2.3072874911072937`*^10, 6.469674482534924`*^10, 1.8152003940005338`*^11, 5.095936325376832`*^11, 1.4314489292074668`*^12, 4.0232302423218184`*^12, 1.131398186180769`*^13, 3.1994148422147035`*^13, 9.052896626415925`*^13, 2.5622121890374038`*^14, 7.253635989831286`*^14, 2.054051714335125`*^15, 5.81812574235135`*^15, 1.6484339971979298`*^16, 4.6717211912572144`*^16, 1.3243383345320587`*^17, 3.75523518615338`*^17, 1.0651007946575636`*^18, 3.0217508970502866`*^18, 8.575112568253211`*^18}, {0.10000000000000009`, 0.11000000000000032`, 0.20100000000000007`, 0.30310000000000015`, 0.6390100000000003`, 1.3960510000000008`, 3.0799939000000007`, 8.355350710000002`, 20.927266919000004`, 54.80951960910001`, 142.29759703899`, 374.2729782751111`, 988.8031868306722`, 2686.565391830421`, 7313.9503600192`, 19940.96297605775`, 54467.23284130882`, 149031.50558543776`, 408493.6678230622`, 1.1215812076353058`*^6, 3.084559727138282`*^6, 8.496579712106243`*^6, 2.3439876392679997`*^7, 6.530031727465066`*^7, 1.824135648031556`*^8, 5.0985571654347724`*^8, 1.4259218122744849`*^9, 3.990323933122004`*^9, 1.1173447927099712`*^10, 3.1306397298395794`*^10, 8.776961973642218`*^10, 2.4621678422540262`*^11, 6.911136719377366`*^11, 1.94104256174515`*^12, 5.454679171529285`*^12, 1.5337212104129508`*^13, 4.330409407236529`*^13, 1.2252311468630628`*^14, 3.467501851678996`*^14, 9.81584817886869`*^14, 2.7794153133182535`*^15, 7.872177456686475`*^15, 2.2302465714330648`*^16, 6.320155188455144`*^16, 1.7915104536577802`*^17, 5.079573520685439`*^17, 1.4406243132729016`*^18, 4.08685169170785`*^18, 1.1596863465303497`*^19, 3.2915804206680273`*^19, 0.`}}\)], "Output"], Cell[BoxData[ \({{1.3662080336204392`*^16, \(-3.3163276167304376`*^16\), 5.030239660213232`*^16, \(-6.398442715699479`*^16\), 7.35028589862583`*^16, \(-7.859305672713805`*^16\), 7.942140389272203`*^16, \(-7.651767908388274`*^16\), 7.0667436920337024`*^16, \(-6.278604286097472`*^16\), 5.379625964800888`*^16, \(-4.4527103501829344`*^16\), 3.56450497495`*^16, \(-2.762094898201376`*^16\), 2.0729467215163496`*^16, \(-1.5073115583584416`*^16\), 1.0621020941198936`*^16, \(-7.2527112876302`*^15\), 4.799285940442537`*^15, \(-3.076943080228165`*^15\), 1.9107859093056105`*^15, \(-1.1489355208810495`*^15\), 6.686134286399638`*^14, \(-3.763667984531459`*^14\), 2.048012777850885`*^14, \(-1.0764896573375794`*^14\), 5.461186208448975`*^13, \(-2.6708659221439133`*^13\), 1.256877557257398`*^13, \(-5.647790860134303`*^12\), 2.326999879561192`*^12, \(-6.222413638675432`*^11\), \ \(-6.22241363867543`*^11\), 2.326999879561192`*^12, \(-5.647790860134303`*^12\), 1.2568775572573984`*^13, \(-2.6708659221439137`*^13\), 5.461186208448977`*^13, \(-1.0764896573375797`*^14\), 2.0480127778508856`*^14, \(-3.763667984531458`*^14\), 6.686134286399638`*^14, \(-1.1489355208810488`*^15\), 1.9107859093056102`*^15, \(-3.0769430802281645`*^15\), 4.799285940442536`*^15, \(-7.252711287630199`*^15\), 1.0621020941198932`*^16, \(-1.5073115583584412`*^16\), 2.0729467215163488`*^16, \(-2.7620948982013748`*^16\), 3.5645049749499984`*^16, \(-4.452710350182933`*^16\), 5.3796259648008864`*^16, \(-6.2786042860974704`*^16\), 7.066743692033699`*^16, \(-7.65176790838827`*^16\), 7.942140389272205`*^16, \(-7.859305672713805`*^16\), 7.35028589862583`*^16, \(-6.398442715699477`*^16\), 5.0302396602132304`*^16, \(-3.316327616730436`*^16\), 1.366208033620439`*^16}, {1.`, 1.5`, 2.25`, 3.375`, 5.0625`, 7.59375`, 11.640625`, 18.3359375`, 29.06640625`, 50.880859375`, 87.2431640625`, 172.46630859375`, 327.389892578125`, 716.1898193359375`, 1450.6865844726562`, 3441.0140075683594`, 7349.825454711914`, 17943.80055999756`, 40301.730503082275`, 97522.62273216248`, 227255.44746494293`, 541453.0030760765`, 1.298026207697153`*^6, 3.0950041698805094`*^6, 7.464935651650488`*^6, 1.789903598895827`*^7, 4.312504888982786`*^7, 1.0371968930064039`*^8, 2.500257731033616`*^8, 6.02575818731931`*^8, 1.454128916427505`*^9, 3.510283236520072`*^9, 8.481523837808104`*^9, 2.055550970735569`*^10, 5.000287352865177`*^10, 1.2168090622855838`*^11, 2.9619279454018677`*^11, 7.212364863479838`*^11, 1.7567850381778657`*^12, 4.2806223235333403`*^12, 1.0433667839189309`*^13, 2.5439683780621832`*^13, 6.204802972050589`*^13, 1.513860317171113`*^14, 3.694730759799797`*^14, 9.020230602209658`*^14, 2.2028660749066898`*^15, 5.38604942911613`*^15, 1.3205518134663266`*^16, 3.238252882006808`*^16}, {0.5`, 0.75`, 1.125`, 1.9375`, 3.03125`, 5.671875`, 9.6953125`, 19.77734375`, 37.720703125`, 81.3623046875`, 171.89501953125`, 377.292724609375`, 863.2813720703125`, 1883.2145385742188`, 4566.781036376953`, 10331.215530395508`, 24834.002082824707`, 57652.99583816528`, 137231.8180103302`, 322583.5351381302`, 766513.9154820442`, 1.8333394717490673`*^6, 4.3930303775776625`*^6, 1.0559939821530998`*^7, 2.5363971640608758`*^7, 6.102408487878613`*^7, 1.4684473819046825`*^8, 3.53745462404002`*^8, 8.526015918352926`*^8, 2.056704735159436`*^9, 4.9644121529475765`*^9, 1.1991807074328175`*^10, 2.90073700594868`*^10, 7.055838323600746`*^10, 1.7168377975721014`*^11, 4.178737007687451`*^11, 1.0174292808881705`*^12, 2.4780215245258496`*^12, 6.037407361711206`*^12, 1.4714290162722648`*^13, 3.587335161981114`*^13, 8.748771350112772`*^13, 2.134340614376172`*^14, 5.20859107697091`*^14, 1.2714961362009455`*^15, 3.1048891351276555`*^15, 7.584228505743962`*^15, 1.8591567563779396`*^16, 4.5588046954731344`*^16, 1.1180393271279011`*^17, 0.`}}\)], "Output"] }, Closed]], Cell[BoxData[{ \(\(PlotExp41\ = \ ListPlot[ exp41[\([2]\)], \ {PlotRange \[Rule] {{0, \ 50}, \ {0, \ 20}}, PlotJoined \[Rule] True, PlotStyle \[Rule] Hue[0.1]}];\)\), "\[IndentingNewLine]", \(\(PlotExp42\ = \ ListPlot[ exp42[\([2]\)], \ {PlotRange \[Rule] {{0, \ 50}, \ {0, \ 20}}, PlotJoined \[Rule] True, PlotStyle \[Rule] Hue[0.2]}];\)\), "\[IndentingNewLine]", \(\(PlotExp43\ = \ ListPlot[ exp43[\([2]\)], \ {PlotRange \[Rule] {{0, \ 50}, \ {0, \ 20}}, PlotJoined \[Rule] True, PlotStyle \[Rule] Hue[0.3]}];\)\), "\[IndentingNewLine]", \(\(PlotExp44\ = \ ListPlot[ exp44[\([2]\)], \ {PlotRange \[Rule] {{0, \ 50}, \ {0, \ 20}}, PlotJoined \[Rule] True, PlotStyle \[Rule] Hue[0.4]}];\)\), "\[IndentingNewLine]", \(\(PlotExp45\ = \ ListPlot[ exp45[\([2]\)], \ {PlotRange \[Rule] {{0, \ 50}, \ {0, \ 20}}, PlotJoined \[Rule] True, PlotStyle \[Rule] Hue[0.5]}];\)\), "\[IndentingNewLine]", \(\(PlotExp46\ = \ ListPlot[ exp46[\([2]\)], \ {PlotRange \[Rule] {{0, \ 50}, \ {0, \ 20}}, PlotJoined \[Rule] True, PlotStyle \[Rule] Hue[0.6]}];\)\), "\[IndentingNewLine]", \(Show[{PlotExp41, \ PlotExp42, \ PlotExp43, \ PlotExp44, \ PlotExp45, \ PlotExp46}]\)}], "Input"], Cell["\<\ The Richardson algorithm neither improves nor converges for any of these \ choices. (red corresponds to a larger alpha) Shown below is error norms \ versus iteration.\ \>", "Text"], Cell[GraphicsData["PostScript", "\<\ %! %%Creator: Mathematica %%AspectRatio: .61803 MathPictureStart /Mabs { Mgmatrix idtransform Mtmatrix dtransform } bind def /Mabsadd { Mabs 3 -1 roll add 3 1 roll add exch } bind def %% Graphics %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10 scalefont setfont % Scaling calculations -1.04083e-017 0.02 0 0.0309017 [ [.2 -0.0125 -6 -9 ] [.2 -0.0125 6 0 ] [.4 -0.0125 -6 -9 ] [.4 -0.0125 6 0 ] [.6 -0.0125 -6 -9 ] [.6 -0.0125 6 0 ] [.8 -0.0125 -6 -9 ] [.8 -0.0125 6 0 ] [1 -0.0125 -6 -9 ] [1 -0.0125 6 0 ] [-0.0125 .07725 -18 -4.5 ] [-0.0125 .07725 0 4.5 ] [-0.0125 .15451 -6 -4.5 ] [-0.0125 .15451 0 4.5 ] [-0.0125 .23176 -18 -4.5 ] [-0.0125 .23176 0 4.5 ] [-0.0125 .30902 -12 -4.5 ] [-0.0125 .30902 0 4.5 ] [-0.0125 .38627 -24 -4.5 ] [-0.0125 .38627 0 4.5 ] [-0.0125 .46353 -12 -4.5 ] [-0.0125 .46353 0 4.5 ] [-0.0125 .54078 -24 -4.5 ] [-0.0125 .54078 0 4.5 ] [-0.0125 .61803 -12 -4.5 ] [-0.0125 .61803 0 4.5 ] [ 0 0 0 0 ] [ 1 .61803 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath 0 g .25 Mabswid [ ] 0 setdash .2 0 m .2 .00625 L s [(10)] .2 -0.0125 0 1 Mshowa .4 0 m .4 .00625 L s [(20)] .4 -0.0125 0 1 Mshowa .6 0 m .6 .00625 L s [(30)] .6 -0.0125 0 1 Mshowa .8 0 m .8 .00625 L s [(40)] .8 -0.0125 0 1 Mshowa 1 0 m 1 .00625 L s [(50)] 1 -0.0125 0 1 Mshowa .125 Mabswid .04 0 m .04 .00375 L s .08 0 m .08 .00375 L s .12 0 m .12 .00375 L s .16 0 m .16 .00375 L s .24 0 m .24 .00375 L s .28 0 m .28 .00375 L s .32 0 m .32 .00375 L s .36 0 m .36 .00375 L s .44 0 m .44 .00375 L s .48 0 m .48 .00375 L s .52 0 m .52 .00375 L s .56 0 m .56 .00375 L s .64 0 m .64 .00375 L s .68 0 m .68 .00375 L s .72 0 m .72 .00375 L s .76 0 m .76 .00375 L s .84 0 m .84 .00375 L s .88 0 m .88 .00375 L s .92 0 m .92 .00375 L s .96 0 m .96 .00375 L s .25 Mabswid 0 0 m 1 0 L s 0 .07725 m .00625 .07725 L s [(2.5)] -0.0125 .07725 1 0 Mshowa 0 .15451 m .00625 .15451 L s [(5)] -0.0125 .15451 1 0 Mshowa 0 .23176 m .00625 .23176 L s [(7.5)] -0.0125 .23176 1 0 Mshowa 0 .30902 m .00625 .30902 L s [(10)] -0.0125 .30902 1 0 Mshowa 0 .38627 m .00625 .38627 L s [(12.5)] -0.0125 .38627 1 0 Mshowa 0 .46353 m .00625 .46353 L s [(15)] -0.0125 .46353 1 0 Mshowa 0 .54078 m .00625 .54078 L s [(17.5)] -0.0125 .54078 1 0 Mshowa 0 .61803 m .00625 .61803 L s [(20)] -0.0125 .61803 1 0 Mshowa .125 Mabswid 0 .01545 m .00375 .01545 L s 0 .0309 m .00375 .0309 L s 0 .04635 m .00375 .04635 L s 0 .0618 m .00375 .0618 L s 0 .09271 m .00375 .09271 L s 0 .10816 m .00375 .10816 L s 0 .12361 m .00375 .12361 L s 0 .13906 m .00375 .13906 L s 0 .16996 m .00375 .16996 L s 0 .18541 m .00375 .18541 L s 0 .20086 m .00375 .20086 L s 0 .21631 m .00375 .21631 L s 0 .24721 m .00375 .24721 L s 0 .26266 m .00375 .26266 L s 0 .27812 m .00375 .27812 L s 0 .29357 m .00375 .29357 L s 0 .32447 m .00375 .32447 L s 0 .33992 m .00375 .33992 L s 0 .35537 m .00375 .35537 L s 0 .37082 m .00375 .37082 L s 0 .40172 m .00375 .40172 L s 0 .41717 m .00375 .41717 L s 0 .43262 m .00375 .43262 L s 0 .44807 m .00375 .44807 L s 0 .47898 m .00375 .47898 L s 0 .49443 m .00375 .49443 L s 0 .50988 m .00375 .50988 L s 0 .52533 m .00375 .52533 L s 0 .55623 m .00375 .55623 L s 0 .57168 m .00375 .57168 L s 0 .58713 m .00375 .58713 L s 0 .60258 m .00375 .60258 L s .25 Mabswid 0 0 m 0 .61803 L s 0 0 m 1 0 L 1 .61803 L 0 .61803 L closepath clip newpath 1 .6 0 r .5 Mabswid .02 .0309 m .04 .0309 L .06 .0309 L .08 .0618 L .1 .18541 L .12 .55623 L s .12 .55623 m .12103 .61803 L s .8 1 0 r .02 .0309 m .04 .0309 L .06 .0309 L .08 .0309 L .1 .0309 L .12 .0309 L .14 .0309 L .16 .0309 L .18 .0309 L .2 .0309 L .22 .0309 L .24 .0309 L .26 .0309 L .28 .0309 L .3 .0309 L .32 .0309 L .34 .0309 L .36 .0309 L .38 .0309 L .4 .0309 L .42 .0309 L .44 .0309 L .46 .0309 L .48 .0309 L .5 .0309 L .52 .0309 L .54 .0309 L .56 .0309 L .58 .0309 L .6 .0309 L .62 .0309 L .64 .0309 L .66 .0309 L .68 .0309 L .7 .0309 L .72 .0309 L .74 .0309 L .76 .0309 L .78 .0309 L .8 .0309 L .82 .0309 L .84 .0309 L .86 .0309 L .88 .0309 L .9 .0309 L .92 .0309 L .94 .0309 L .96 .0309 L .98 .0309 L 1 .0309 L Mistroke Mfstroke .2 1 0 r .02 .0309 m .04 .03121 L .06 .03152 L .08 .03184 L .1 .03246 L .12 .03337 L .14 .03582 L .16 .04034 L .18 .05602 L .2 .08637 L .22 .19716 L .24 .45023 L s .24 .45023 m .24431 .61803 L s 0 1 .4 r .02 .0309 m .04 .03245 L .06 .03407 L .08 .03577 L .1 .03887 L .12 .04322 L .14 .05504 L .16 .07561 L .18 .14674 L .2 .28251 L s .2 .28251 m .21391 .61803 L s 0 1 1 r .02 .0309 m .04 .03399 L .06 .03739 L .08 .04113 L .1 .04741 L .12 .05563 L .14 .07851 L .16 .11507 L .18 .24153 L .2 .47816 L s .2 .47816 m .20345 .61803 L s 0 .4 1 r .02 .0309 m .04 .04635 L .06 .06953 L .08 .10429 L .1 .15644 L .12 .23466 L .14 .35972 L .16 .56661 L s .16 .56661 m .1631 .61803 L s % End of Graphics MathPictureEnd \ \>"], "Graphics", ImageSize->{665, 410.813}, ImageMargins->{{43, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, ImageCache->GraphicsData["Bitmap", "\<\ CF5dJ6E]HGAYHf4PAg9QL6QYHg0?ooo`03001Vo`3oool0oooo00T0oooo1P00ool50?ooo`040?nI003o ool0oooo0?ooo`X00?mV7`3oool603?o0?l0ooooo`3ooolQ0?ooo`007`3oool00`000000oooo0?oo o`0?0?ooo`03001Vo`3oool0oooo00h0oooo1P00ool00`3oV@00oooo0?ooo`0:0?ooo`H00?mV7`3o ool403?o0?l0ooooo`3ooolM0?ooo`007`3oool00`000000oooo0?ooo`0@0?ooo`8006Ko503oool6 003oo`d0oooo1P00ofHM0?ooo`@00?ooo`03 003oIP3oool0oooo01L0oooo00<00?ooo`030?nI003oool0oooo01P0oooo0P00ool<0?ooo`03003oIP3oool0 oooo01H0oooo00<00?ooo`030?nI003oool0oooo01T0 oooo00<00?oo0?ooo`3oool02P3oool00`00ofH0oooo0?ooo`0E0?ooo`0303?o003oool0oooo0?l0 ooooo`3oool70?ooo`007`3oool00`000000oooo0?ooo`0N0?ooo`03001Vo`3oool0oooo00d0oooo 00<0oiT00?ooo`3oool06P3oool00`00ool0oooo0?ooo`0:0?ooo`03003oIP3oool0oooo01D0oooo 00<003oool00`3oV@00 06Ko0?ooo`0Z0?ooo`03003oo`3oool0oooo00H0oooo00<00?mV0?ooo`3oool0403oool00`0co`00 oooo0?ooo`3o0?oooo@0oooo000O0?ooo`030000003oool0oooo03P0oooo00<0oiT00?ooo`00I_l0 :P3oool00`00ool0oooo0?ooo`060?ooo`03003oIP3oool0oooo0140oooo00<003oool00`3oV@00oooo001Vo`0Z0?ooo`03003oo`3oool0 oooo00H0oooo00<00?mV0?ooo`3oool04@3oool00`0co`00oooo0?ooo`3o0?oooo<0oooo000C0?oo o`040=nLB0000000000004RLg`P0oooo00<000000?ooo`3oool0>03oool0103oV@00oooo0?ooo`00 I_lY0?ooo`03003oo`3oool0oooo00H0oooo00<00?mV0?ooo`3oool04@3oool00`0co`00oooo0?oo o`3o0?oooo<0oooo000B0?ooo`060?oOW018B9`0oooo0?ooo`2LB4P0W=oo1`3oool00`000000oooo 0?ooo`0i0?ooo`030?nI003oool006Ko02X0oooo00<00?oo0?ooo`3oool01P3oool00`00ofH0oooo 0?ooo`0@0?ooo`0303?o003oool0oooo0?l0ooool`3oool001H0oooo00<0_gA809cOo`3oool01P3o ool5000003L0oooo00@0oiT00?ooo`3oool006Ko:@3oool00`00ool0oooo0?ooo`060?ooo`03003o IP3oool0oooo0100oooo00<0P3oool0103oV@00 oooo0?ooo`00I_lY0?ooo`03003oo`3oool0oooo00H0oooo00<00?mV0?ooo`3oool0403oool00`0c o`00oooo0?ooo`3o0?oooo80oooo000O0?ooo`030000003oool0oooo03X0oooo00@0oiT00?ooo`3o ool006Ko:@3oool00`00ool0oooo0?ooo`060?ooo`03003oIP3oool0oooo0140oooo00<00?ooo`0303?o003oool0oooo0?l0ooooj@3oool001l0oooo00<000000?ooo`3oool0 ?`3oool00`3oV@00oooo0?ooo`0;0?ooo`03001Vo`3oool0oooo0240oooo00<00?oo0?ooo`3oool0 1`3oool00`00ofH0oooo0?ooo`0>0?ooo`0303?o003oool0oooo0?l0ooooj@3oool001l0oooo00<0 00000?ooo`3oool0?`3oool00`3oV@00oooo0?ooo`0<0?ooo`03001Vo`3oool0oooo0200oooo00<0 0?oo0?ooo`3oool01`3oool00`00ofH0oooo0?ooo`0>0?ooo`0303?o003oool0oooo0?l0ooooj@3o ool001l0oooo00<000000?ooo`3oool0?`3oool00`3oV@00oooo0?ooo`0<0?ooo`03001Vo`3oool0 oooo0200oooo00<00?oo0?ooo`3oool01`3oool00`00ofH0oooo0?ooo`0>0?ooo`0303?o003oool0 oooo0?l0ooooj@3oool001l0oooo00<000000?ooo`3oool0?`3oool00`3oV@00oooo0?ooo`0<0?oo o`03001Vo`3oool0oooo0200oooo00<00?oo0?ooo`3oool01`3oool00`00ofH0oooo0?ooo`0>0?oo o`0303?o003oool0oooo0?l0ooooj@3oool001l0oooo1000000o0?ooo`030?nI003oool0oooo00/0 oooo00<006Ko0?ooo`3oool0803oool00`00ool0oooo0?ooo`070?ooo`03003oIP3oool0oooo00h0 oooo00<00?ooo`030?noM018W=l0oooo0080oooo00D0W7BL0?ooo`3oool0W4Qd0;ooo`070?ooo`03 0000003oool0oooo0400oooo00<0oiT00?ooo`3oool03@3oool00`00I_l0oooo0?ooo`0O0?ooo`03 003oo`3oool0oooo00L0oooo00<00?mV0?ooo`3oool03P3oool00`0co`00oooo0?ooo`3o0?ooonP0 oooo000>0?ooo`060?noM018W=l0oooo0?ooo`3ookl0M4RL0P3oool00`2oM4P0W=oo0?ooo`060?oo o`D00000?P3oool00`3oV@00oooo0?ooo`0=0?ooo`03001Vo`3oool0oooo01l0oooo00<00?oo0?oo o`3oool01`3oool00`00ofH0oooo0?ooo`0>0?ooo`0303?o003oool0oooo0?l0ooooj03oool000h0 oooo00H0okmd04RLg`3oool0oooo0?oo_`1dB9`20?ooo`030;mdB02Lgol0oooo00H0oooo00<00000 0?ooo`3oool0@03oool00`3oV@00oooo0?ooo`0=0?ooo`03001Vo`3oool0oooo01l0oooo00<00?oo 0?ooo`3oool01`3oool00`00ofH0oooo0?ooo`0>0?ooo`0303?o003oool0oooo0?l0ooooj03oool0 00d0oooo00<0W4Qd0;noM018W=l00`3oool01@2LB4P0W=oo0?oo_`1d07@0_ooo00L0oooo00<00000 0?ooo`3oool0@03oool00`3oV@00oooo0?ooo`0=0?ooo`03001Vo`3oool0oooo01l0oooo00<00?oo 0?ooo`3oool01`3oool00`00ofH0oooo0?ooo`0>0?ooo`0303?o003oool0oooo0?l0ooooj03oool0 00d0oooo00<0okmd00000018W=l00`3oool0103ogi`0B0000000001d_ol80?ooo`030000003oool0 oooo0400oooo00<0oiT00?ooo`3oool03@3oool00`00I_l0oooo0?ooo`0O0?ooo`03003oo`3oool0 oooo00L0oooo00<00?mV0?ooo`3oool03P3oool00`0co`00oooo0?ooo`3o0?ooonP0oooo000O0?oo o`030000003oool0oooo0400oooo00<0oiT00?ooo`3oool03@3oool00`00I_l0oooo0?ooo`0O0?oo o`03003oo`3oool0oooo00L0oooo00<00?mV0?ooo`3oool03P3oool00`0co`00oooo0?ooo`3o0?oo onP0oooo000O0?ooo`030000003oool0oooo0400oooo00<0oiT00?ooo`3oool03P3oool00`00I_l0 oooo0?ooo`0N0?ooo`03003oo`3oool0oooo00L0oooo00<00?mV0?ooo`3oool03P3oool00`0co`00 oooo0?ooo`3o0?ooonP0oooo000O0?ooo`030000003oool0oooo0400oooo00<0oiT00?ooo`3oool0 3P3oool00`00I_l0oooo0?ooo`0N0?ooo`03003oo`3oool0oooo00L0oooo00<00?mV0?ooo`3oool0 3P3oool00`0co`00oooo0?ooo`3o0?ooonP0oooo000O0?ooo`030000003oool0oooo0400oooo00<0 oiT00?ooo`3oool03P3oool00`00I_l0oooo0?ooo`0N0?ooo`03003oo`3oool0oooo00L0oooo00<0 0?mV0?ooo`3oool03P3oool00`0co`00oooo0?ooo`3o0?ooonP0oooo000O0?ooo`030000003oool0 oooo0400oooo00<0oiT00?ooo`3oool03P3oool00`00I_l0oooo0?ooo`0N0?ooo`03003oo`3oool0 oooo00L0oooo00<00?mV0?ooo`3oool03P3oool00`0co`00oooo0?ooo`3o0?ooonP0oooo000O0?oo o`@00000?`3oool00`3oV@00oooo0?ooo`0>0?ooo`03001Vo`3oool0oooo01l0oooo00<00?oo0?oo o`3oool01P3oool00`00ofH0oooo0?ooo`0>0?ooo`0303?o003oool0oooo0?l0ooooj03oool001l0 oooo00<000000?ooo`3oool0@@3oool00`3oV@00oooo0?ooo`0=0?ooo`03001Vo`3oool0oooo01l0 oooo00<00?oo0?ooo`3oool01P3oool00`00ofH0oooo0?ooo`0?0?ooo`0303?o003oool0oooo0?l0 ooooi`3oool001l0oooo00<000000?ooo`3oool0@@3oool00`3oV@00oooo0?ooo`0>0?ooo`03001V o`3oool0oooo01h0oooo00<00?oo0?ooo`3oool01P3oool00`00ofH0oooo0?ooo`0?0?ooo`0303?o 003oool0oooo0?l0ooooi`3oool001l0oooo00<000000?ooo`3oool0@@3oool00`3oV@00oooo0?oo o`0>0?ooo`03001Vo`3oool0oooo01h0oooo00<00?oo0?ooo`3oool01P3oool00`00ofH0oooo0?oo o`0?0?ooo`0303?o003oool0oooo0?l0ooooi`3oool001l0oooo00<000000?ooo`3oool0@@3oool0 0`3oV@00oooo0?ooo`0>0?ooo`03001Vo`3oool0oooo01h0oooo00<00?oo0?ooo`3oool01P3oool0 0`00ofH0oooo0?ooo`0?0?ooo`0303?o003oool0oooo0?l0ooooi`3oool001l0oooo00<000000?oo o`3oool0@@3oool00`3oV@00oooo0?ooo`0>0?ooo`03001Vo`3oool0oooo01h0oooo00<00?oo0?oo o`3oool01P3oool00`00ofH0oooo0?ooo`0?0?ooo`0303?o003oool0oooo0?l0ooooi`3oool001l0 oooo00<000000?ooo`3oool0@@3oool00`3oV@00oooo0?ooo`0>0?ooo`03001Vo`3oool0oooo01h0 oooo00<00?oo0?ooo`3oool01P3oool00`00ofH0oooo0?ooo`0?0?ooo`0303?o003oool0oooo0?l0 ooooi`3oool001l0oooo00<000000?ooo`3oool0@@3oool00`3oV@00oooo0?ooo`0>0?ooo`03001V o`3oool0oooo01h0oooo00<00?oo0?ooo`3oool01P3oool00`00ofH0oooo0?ooo`0?0?ooo`0303?o 003oool0oooo0?l0ooooi`3oool001l0oooo00<000000?ooo`3oool0@@3oool00`3oV@00oooo0?oo o`0?0?ooo`03001Vo`3oool0oooo01d0oooo00<00?oo0?ooo`3oool01P3oool00`00ofH0oooo0?oo o`0?0?ooo`0303?o003oool0oooo0?l0ooooi`3oool001l0oooo00<000000?ooo`3oool0@@3oool0 0`3oV@00oooo0?ooo`0?0?ooo`03001Vo`3oool0oooo01d0oooo00<00?oo0?ooo`3oool01P3oool0 0`00ofH0oooo0?ooo`0?0?ooo`0303?o003oool0oooo0?l0ooooi`3oool001l0oooo100000100?oo o`030?nI003oool0oooo00l0oooo00<006Ko0?ooo`3oool07@3oool00`00ool0oooo0?ooo`060?oo o`03003oIP3oool0oooo00l0oooo00<00?ooo`060?noM018W=l0oooo 0?ooo`3ogi`0B4RL0P3oool00`2LB4P0W=oo0?ooo`060?ooo`030000003oool0oooo04D0oooo00<0 oiT00?ooo`3oool04`3oool00`00I_l0oooo0?ooo`0L0?ooo`03003oo`3oool0oooo0080oooo00<0 0?mV0?ooo`3oool04P3oool00`0co`00oooo0?ooo`3o0?ooon40oooo000>0?ooo`030?noM018W=l0 oooo00D0oooo00<0_gA809cOo`3oool01P3oool5000004<0oooo00<0oiT00?ooo`3oool0503oool0 0`00I_l0oooo0?ooo`0K0?ooo`03003oo`3oool0oooo0080oooo00<00?mV0?ooo`3oool04P3oool0 0`0co`00oooo0?ooo`3o0?ooon40oooo000>0?ooo`030?noM018W=l0oooo0080oooo00@0_g@00000 0000000007Bo203oool00`000000oooo0?ooo`150?ooo`030?nI003oool0oooo01@0oooo00<006Ko 0?ooo`3oool06`3oool00`00ool0oooo0?ooo`020?ooo`03003oIP3oool0oooo0180oooo00<00?ooo`060?noM0000000M;oo0?oo o`3ookl0M4RL0P3oool00`2oM4P0W=oo0?ooo`060?ooo`D00000A`3oool00`3oV@00oooo0?ooo`0G 0?ooo`03001Vo`3oool0oooo01L0oooo00<00?oo0?ooo`3oool00`3oool00`00ofH0oooo0?ooo`0@ 0?ooo`0303?o003oool0oooo0?l0oooog`3oool000l0oooo00D0oono0;noo`3oool0oono07A8W002 0?ooo`030;mdB02Lgol0oooo0?l0ooooo`3ooon20?ooo`00303oool0303ogi`0B4RL0?ooo`3ookl0 M01d0;ooo`3oool0W4Q809cOo`3ookl0M01d0;ooool0ooooo`3ooon30?ooo`003@3oool0103OW4P0 000000000018W=l20?ooo`040?oOW0180000000007Boool0ooooo`3ooon40?ooo`00o`3ooooo0?oo oi/0oooo003o0?ooool0ooooV`3oool00001\ \>"], ImageRangeCache->{{{0, 664}, {409.813, 0}} -> {-2.54168, -0.908283, \ 0.079851, 0.0516806}}], Cell[BoxData[{ \(\(PlotExp41r\ = \ ListPlot[ exp41[\([3]\)], \ {PlotRange \[Rule] {{0, \ 50}, \ {0, \ 20}}, PlotJoined \[Rule] True, PlotStyle \[Rule] Hue[0.1]}];\)\), "\[IndentingNewLine]", \(\(PlotExp42r\ = \ ListPlot[ exp42[\([3]\)], \ {PlotRange \[Rule] {{0, \ 50}, \ {0, \ 20}}, PlotJoined \[Rule] True, PlotStyle \[Rule] Hue[0.2]}];\)\), "\[IndentingNewLine]", \(\(PlotExp43r\ = \ ListPlot[ exp43[\([3]\)], \ {PlotRange \[Rule] {{0, \ 50}, \ {0, \ 20}}, PlotJoined \[Rule] True, PlotStyle \[Rule] Hue[0.3]}];\)\), "\[IndentingNewLine]", \(\(PlotExp44r\ = \ ListPlot[ exp44[\([3]\)], \ {PlotRange \[Rule] {{0, \ 50}, \ {0, \ 20}}, PlotJoined \[Rule] True, PlotStyle \[Rule] Hue[0.4]}];\)\), "\[IndentingNewLine]", \(\(PlotExp45r\ = \ ListPlot[ exp45[\([3]\)], \ {PlotRange \[Rule] {{0, \ 50}, \ {0, \ 20}}, PlotJoined \[Rule] True, PlotStyle \[Rule] Hue[0.5]}];\)\), "\[IndentingNewLine]", \(\(PlotExp46r\ = \ ListPlot[ exp46[\([3]\)], \ {PlotRange \[Rule] {{0, \ 50}, \ {0, \ 20}}, PlotJoined \[Rule] True, PlotStyle \[Rule] Hue[0.6]}];\)\), "\[IndentingNewLine]", \(Show[{PlotExp41r, \ PlotExp42r, \ PlotExp43r, \ PlotExp44r, \ PlotExp45r, \ PlotExp46r}]\)}], "Input"], Cell["\<\ Not surprisingly, the Richardson algorithm's residuals behave the same way. \ (red corresponds to a larger alpha). Shown below is residual norms versus \ iteration.\ \>", "Text"], Cell[GraphicsData["PostScript", "\<\ %! %%Creator: Mathematica %%AspectRatio: .61803 MathPictureStart /Mabs { Mgmatrix idtransform Mtmatrix dtransform } bind def /Mabsadd { Mabs 3 -1 roll add 3 1 roll add exch } bind def %% Graphics %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10 scalefont setfont % Scaling calculations -1.04083e-017 0.02 0 0.0309017 [ [.2 -0.0125 -6 -9 ] [.2 -0.0125 6 0 ] [.4 -0.0125 -6 -9 ] [.4 -0.0125 6 0 ] [.6 -0.0125 -6 -9 ] [.6 -0.0125 6 0 ] [.8 -0.0125 -6 -9 ] [.8 -0.0125 6 0 ] [1 -0.0125 -6 -9 ] [1 -0.0125 6 0 ] [-0.0125 .07725 -18 -4.5 ] [-0.0125 .07725 0 4.5 ] [-0.0125 .15451 -6 -4.5 ] [-0.0125 .15451 0 4.5 ] [-0.0125 .23176 -18 -4.5 ] [-0.0125 .23176 0 4.5 ] [-0.0125 .30902 -12 -4.5 ] [-0.0125 .30902 0 4.5 ] [-0.0125 .38627 -24 -4.5 ] [-0.0125 .38627 0 4.5 ] [-0.0125 .46353 -12 -4.5 ] [-0.0125 .46353 0 4.5 ] [-0.0125 .54078 -24 -4.5 ] [-0.0125 .54078 0 4.5 ] [-0.0125 .61803 -12 -4.5 ] [-0.0125 .61803 0 4.5 ] [ 0 0 0 0 ] [ 1 .61803 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath 0 g .25 Mabswid [ ] 0 setdash .2 0 m .2 .00625 L s [(10)] .2 -0.0125 0 1 Mshowa .4 0 m .4 .00625 L s [(20)] .4 -0.0125 0 1 Mshowa .6 0 m .6 .00625 L s [(30)] .6 -0.0125 0 1 Mshowa .8 0 m .8 .00625 L s [(40)] .8 -0.0125 0 1 Mshowa 1 0 m 1 .00625 L s [(50)] 1 -0.0125 0 1 Mshowa .125 Mabswid .04 0 m .04 .00375 L s .08 0 m .08 .00375 L s .12 0 m .12 .00375 L s .16 0 m .16 .00375 L s .24 0 m .24 .00375 L s .28 0 m .28 .00375 L s .32 0 m .32 .00375 L s .36 0 m .36 .00375 L s .44 0 m .44 .00375 L s .48 0 m .48 .00375 L s .52 0 m .52 .00375 L s .56 0 m .56 .00375 L s .64 0 m .64 .00375 L s .68 0 m .68 .00375 L s .72 0 m .72 .00375 L s .76 0 m .76 .00375 L s .84 0 m .84 .00375 L s .88 0 m .88 .00375 L s .92 0 m .92 .00375 L s .96 0 m .96 .00375 L s .25 Mabswid 0 0 m 1 0 L s 0 .07725 m .00625 .07725 L s [(2.5)] -0.0125 .07725 1 0 Mshowa 0 .15451 m .00625 .15451 L s [(5)] -0.0125 .15451 1 0 Mshowa 0 .23176 m .00625 .23176 L s [(7.5)] -0.0125 .23176 1 0 Mshowa 0 .30902 m .00625 .30902 L s [(10)] -0.0125 .30902 1 0 Mshowa 0 .38627 m .00625 .38627 L s [(12.5)] -0.0125 .38627 1 0 Mshowa 0 .46353 m .00625 .46353 L s [(15)] -0.0125 .46353 1 0 Mshowa 0 .54078 m .00625 .54078 L s [(17.5)] -0.0125 .54078 1 0 Mshowa 0 .61803 m .00625 .61803 L s [(20)] -0.0125 .61803 1 0 Mshowa .125 Mabswid 0 .01545 m .00375 .01545 L s 0 .0309 m .00375 .0309 L s 0 .04635 m .00375 .04635 L s 0 .0618 m .00375 .0618 L s 0 .09271 m .00375 .09271 L s 0 .10816 m .00375 .10816 L s 0 .12361 m .00375 .12361 L s 0 .13906 m .00375 .13906 L s 0 .16996 m .00375 .16996 L s 0 .18541 m .00375 .18541 L s 0 .20086 m .00375 .20086 L s 0 .21631 m .00375 .21631 L s 0 .24721 m .00375 .24721 L s 0 .26266 m .00375 .26266 L s 0 .27812 m .00375 .27812 L s 0 .29357 m .00375 .29357 L s 0 .32447 m .00375 .32447 L s 0 .33992 m .00375 .33992 L s 0 .35537 m .00375 .35537 L s 0 .37082 m .00375 .37082 L s 0 .40172 m .00375 .40172 L s 0 .41717 m .00375 .41717 L s 0 .43262 m .00375 .43262 L s 0 .44807 m .00375 .44807 L s 0 .47898 m .00375 .47898 L s 0 .49443 m .00375 .49443 L s 0 .50988 m .00375 .50988 L s 0 .52533 m .00375 .52533 L s 0 .55623 m .00375 .55623 L s 0 .57168 m .00375 .57168 L s 0 .58713 m .00375 .58713 L s 0 .60258 m .00375 .60258 L s .25 Mabswid 0 0 m 0 .61803 L s 0 0 m 1 0 L 1 .61803 L 0 .61803 L closepath clip newpath 1 .6 0 r .5 Mabswid .02 .0309 m .04 .0309 L .06 .09271 L .08 .24721 L s .08 .24721 m .095 .61803 L s .8 1 0 r .02 0 m .04 0 L .06 0 L .08 0 L .1 0 L .12 0 L .14 0 L .16 0 L .18 0 L .2 0 L .22 0 L .24 0 L .26 0 L .28 0 L .3 0 L .32 0 L .34 0 L .36 0 L .38 0 L .4 0 L .42 0 L .44 0 L .46 0 L .48 0 L .5 0 L .52 0 L .54 0 L .56 0 L .58 0 L .6 0 L .62 0 L .64 0 L .66 0 L .68 0 L .7 0 L .72 0 L .74 0 L .76 0 L .78 0 L .8 0 L .82 0 L .84 0 L .86 0 L .88 0 L .9 0 L .92 0 L .94 0 L .96 0 L .98 0 L 1 0 L Mistroke Mfstroke .2 1 0 r .02 .00031 m .04 .00031 L .06 .00062 L .08 .00093 L .1 .00214 L .12 .00487 L .14 .01178 L .16 .03199 L .18 .08382 L .2 .22496 L .22 .60412 L s .22 .60412 m .22027 .61803 L s 0 1 .4 r .02 .00155 m .04 .00162 L .06 .00309 L .08 .00465 L .1 .01031 L .12 .02304 L .14 .0537 L .16 .1454 L .18 .37396 L s .18 .37396 m .1879 .61803 L s 0 1 1 r .02 .00309 m .04 .0034 L .06 .00621 L .08 .00937 L .1 .01975 L .12 .04314 L .14 .09518 L .16 .25819 L s .16 .25819 m .17852 .61803 L s 0 .4 1 r .02 .01545 m .04 .02318 L .06 .03476 L .08 .05987 L .1 .09367 L .12 .17527 L .14 .2996 L .16 .61115 L s .16 .61115 m .16025 .61803 L s % End of Graphics MathPictureEnd \ \>"], "Graphics", ImageSize->{647, 399.688}, ImageMargins->{{43, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, ImageCache->GraphicsData["Bitmap", "\<\ CF5dJ6E]HGAYHf4PAg9QL6QYHg